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class="social-profile-avatar-container"><img class="profile-avatar u-positionAbsolute" alt="Alessio Miscioscia" border="0" onerror="if (this.src != '//a.academia-assets.com/images/s200_no_pic.png') this.src = '//a.academia-assets.com/images/s200_no_pic.png';" width="200" height="200" src="https://0.academia-photos.com/34076902/29617540/59814341/s200_alessio.miscioscia.jpeg" /></div><div class="title-container"><h1 class="ds2-5-heading-sans-serif-sm">Alessio Miscioscia</h1><div class="affiliations-container fake-truncate js-profile-affiliations"><div><a class="u-tcGrayDarker" href="https://desy.academia.edu/">Deutsche Elektronen-Synchrotron</a>, <a class="u-tcGrayDarker" href="https://desy.academia.edu/Departments/Theory_Group/Documents">Theory Group</a>, <span class="u-tcGrayDarker">Graduate Student</span></div><div><a class="u-tcGrayDarker" href="https://unipd.academia.edu/">Università degli Studi di Padova</a>, <a class="u-tcGrayDarker" 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class="label">Mentions</p><p class="data"></p></div></a></div><span><div class="stat-container"><p class="label"><span class="js-profile-total-view-text">Public Views</span></p><p class="data"><span class="js-profile-view-count"></span></p></div></span></div><div class="user-bio-container"><div class="profile-bio fake-truncate js-profile-about" style="margin: 0px;">PHD candidate at DESY, Theory group (Hamburg) 2022-present<br />Master degree in physics from University of Padova (thesis supervised by G.Mussardo and A. Sfondrini) 2020-2022<br />Trainee in Sissa (supervised by G.Mussardo)  2022-2022<br />Bachelor degree in physics from University of Padova (thesis supervised by S.Giusto) 2017-2020<br /><span class="u-fw700">Supervisors: </span>Elli Pomoni<br /><div class="js-profile-less-about u-linkUnstyled u-tcGrayDarker u-textDecorationUnderline u-displayNone">less</div></div></div><div class="suggested-academics-container"><div class="suggested-academics--header"><p class="ds2-5-body-md-bold">Related Authors</p></div><ul class="suggested-user-card-list"><div class="suggested-user-card"><div class="suggested-user-card__avatar social-profile-avatar-container"><a href="https://independent.academia.edu/MisaoSasaki"><img class="profile-avatar u-positionAbsolute" border="0" alt="" src="//a.academia-assets.com/images/s200_no_pic.png" /></a></div><div class="suggested-user-card__user-info"><a class="suggested-user-card__user-info__header ds2-5-body-sm-bold ds2-5-body-link" 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hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/89795671/The_space_of_two_dimensional_quantum_field_theories_deformations_of_conformal_models"><img alt="Research paper thumbnail of The space of two dimensional quantum field theories: deformations of conformal models" class="work-thumbnail" src="https://attachments.academia-assets.com/93537494/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/89795671/The_space_of_two_dimensional_quantum_field_theories_deformations_of_conformal_models">The space of two dimensional quantum field theories: deformations of conformal models</a></div><div class="wp-workCard_item"><span>The space of two dimensional quantum field theories: deformations of conformal models</span><span>, 2022</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">In this thesis we study some deformations of conformal minimal models. In particular we study the...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">In this thesis we study some deformations of conformal minimal models. In particular we study the imaginary magnetic deformation of the tricritical Ising model. <br /> <br />The results and methodologies of this thesis are to be considered linked to what was known and discovered by the authors at the time of writing the thesis. There are errors (in the last chapter), then corrected in the paper: 2211.01123</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="4103f29ce3de07fcc44e81fc41156907" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":93537494,"asset_id":89795671,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/93537494/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="89795671"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="89795671"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 89795671; 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="profile--tab_heading_container js-section-heading" data-section="Notes" id="Notes"><h3 class="profile--tab_heading_container">Notes by Alessio Miscioscia</h3></div><div class="js-work-strip profile--work_container" data-work-id="119084411"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/119084411/Notes_on_the_Island_proposal"><img alt="Research paper thumbnail of Notes on the Island proposal" class="work-thumbnail" src="https://attachments.academia-assets.com/114548488/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/119084411/Notes_on_the_Island_proposal">Notes on the Island proposal</a></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">In these notes we explore the basic ideas of the Island proposal, its relation with AdS/CFT and i...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">In these notes we explore the basic ideas of the Island proposal, its relation with AdS/CFT and information paradox. Notes prepared for the Desy theory Workshop (7.05.2024) and Desy theory workshop (14.05.2024).</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="44898ab39d4956f0e66c4d1444968cd8" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":114548488,"asset_id":119084411,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/114548488/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="119084411"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="119084411"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 119084411; 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Notes prepared...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">In these notes we explore the basics of Hawking radiation in black holes’ physics. Notes prepared for the Desy theory Workshop (13.06.2023).</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="e54cfc8743f5f28e53009e621f3a33d2" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":110083095,"asset_id":103044608,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/110083095/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="103044608"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="103044608"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 103044608; 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="83945378"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/83945378/Two_dimensional_conformal_field_theories_an_introduction"><img alt="Research paper thumbnail of Two dimensional conformal field theories: an introduction" class="work-thumbnail" src="https://attachments.academia-assets.com/89236336/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/83945378/Two_dimensional_conformal_field_theories_an_introduction">Two dimensional conformal field theories: an introduction</a></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">In these notes we are going to discuss some basic results in conformal field theories; in particu...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">In these notes we are going to discuss some basic results in conformal field theories; in particular we will see why the two dimensional case is a special case and we will discuss how to construct the Hilbert space, compute correlation functions and the Hamiltonian of the theory.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="e2b42aa011c26389e4cddb56adf97c99" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":89236336,"asset_id":83945378,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/89236336/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="83945378"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="83945378"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 83945378; 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="59800893"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/59800893/Introduction_to_String_theory_and_Sugra"><img alt="Research paper thumbnail of Introduction to String theory and Sugra" class="work-thumbnail" src="https://attachments.academia-assets.com/78150479/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/59800893/Introduction_to_String_theory_and_Sugra">Introduction to String theory and Sugra</a></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">This are some notes of introduction on string theories. This notes include -Classical Strings ...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">This are some notes of introduction on string theories. This notes include <br /> <br />-Classical Strings ( Why string theory?, The point particle theory, The Nambu-Goto Action and the Polyakov action, Equations of motion, constrains and mode expansion) <br /> <br />-Quantization of strings( Covariant quantization, Lightcone quantization, Casimir energy, String Spectrum, Lorentz invariance, Comments on superstrings) <br /> <br />- Open strings and D − Branes (Open strings spectra, The Dirac action, Multiple branes: where are strings?) <br /> <br />-CFT (Stress energy tensor and Nöether charges, Operator product expansion,  Virasoro Algebra, Example: The free scalar field, central charges, Something about CFTs with boundary) <br /> <br />-Path integral formulation of strings (The ghost CFT, An aside: Liouville quantum gravity, States and vertex operators, Examples: closed and open string in flat space). <br /> <br />-String interactions (closed string amplitude, open string amplitude,  one loop amplitude, partition function: a node to string field theory). <br /> <br />-Effective action and low energy (Einstein equations, string effective action, solution of e.o.m., compactification and moduli) <br /> <br />-Sugra (from global to local Susy, the gravitino, Gravity as (a sort of) gauge theory, pure N=1 Sugra in D= 4, pure N=1 Sugra in D= 4 with Cosmological constant , matter couplings, physical feature of Sugra, Super-Higgs mechanism, Duality , extended SuGra, Black holes in N=2 Sugra)</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="baa79b4dee595a384ea26e5f42699652" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":78150479,"asset_id":59800893,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/78150479/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="59800893"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="59800893"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 59800893; 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="50953880"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/50953880/Spin_statistics_theorem_from_Wightmans_axioms"><img alt="Research paper thumbnail of Spin-statistics theorem from Wightman's axioms" class="work-thumbnail" src="https://attachments.academia-assets.com/69193741/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/50953880/Spin_statistics_theorem_from_Wightmans_axioms">Spin-statistics theorem from Wightman's axioms</a></div><div class="wp-workCard_item"><span>Spin-Statistics theorem</span><span>, 2021</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">In quantum mechanics the Pauli exclusion principle plays a crucial role in the description of nat...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">In quantum mechanics the Pauli exclusion principle plays a crucial role in the description of nature (not least for the explaination of the Mendelejev's table of elements). This principle connects the symmetry or antisymmetry of the N −particle wave functions of identical particles with the spins, in particular with integer or half-integer spins, respectively. Our pourpose is to discuss the nature of this principle from a QFT point of view, in particular we will prove the Spin-statistics theorem, which is the rigorous statement of the Pauli principle, assuming the Wightman's axioms (to be honest the Wightman axioms for the Wightman's distributions). In order to do that, after a review of theWightaman's axioms, we will discuss first the free case, since this case is somehow special and we don't need many assumptions; then we will discuss the general case.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="f12bc25a2751eb2f0ca225abe7397394" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":69193741,"asset_id":50953880,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/69193741/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="50953880"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="50953880"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 50953880; 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="50129237"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/50129237/Naturalness_problem_in_Standard_model"><img alt="Research paper thumbnail of Naturalness problem in Standard model" class="work-thumbnail" src="https://attachments.academia-assets.com/68230435/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/50129237/Naturalness_problem_in_Standard_model">Naturalness problem in Standard model</a></div><div class="wp-workCard_item"><span>Naturalness problem in Standard model</span><span>, 2021</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">Naturalness has been for many years a very hot topic in particle physics, but in particular after...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">Naturalness has been for many years a very hot topic in particle physics, but in particular after the last run of LHC in 2016 it has become more and more important. Not finding evidence for new processes at the TeV energies made the community doubt of their understanding of modern physics. We want to discuss what is this problem and how does it present itself in the Standard Model. Then we continue with the calculation for the correction to the mass of the Higgs, which is the particle protagonist of this report; calculate its β function and in the end describe qualitatively some of the solutions proposed for the naturalness problem.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="09eb486f2d64442afe9f3753d37b4d43" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":68230435,"asset_id":50129237,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/68230435/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="50129237"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="50129237"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 50129237; 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="46884055"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/46884055/Effective_field_theory"><img alt="Research paper thumbnail of Effective field theory" class="work-thumbnail" src="https://attachments.academia-assets.com/67859250/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/46884055/Effective_field_theory">Effective field theory</a></div><div class="wp-workCard_item"><span>Effective field theory</span><span>, 2021</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">This are some note on effective field theory. The content are -Introduction -Classification o...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">This are some note on effective field theory. The content are <br /> <br />-Introduction <br />-Classification of operator <br />-Wilsonian action <br />-Fermi Theory  <br />-Non relativistic QED <br />-S matrix equivalence theorem <br /> <br />-Loops and EFT <br />-Low energy QED <br />-Birifrangence of vacuum <br />-Positivity bound <br />-Loops, dimension and EFT <br />-Accidental symmetries <br />-EFT at the non-perturbative level <br />-Anomalies in QFT <br />-Chiral anomaly in QED and pion decay <br /> <br />-Exercies</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="fb16beb4c1a6960ac0446eb29a3e3e45" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":67859250,"asset_id":46884055,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/67859250/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="46884055"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="46884055"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 46884055; 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="45423674"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/45423674/Mathematical_Physics"><img alt="Research paper thumbnail of Mathematical Physics" class="work-thumbnail" src="https://attachments.academia-assets.com/67581563/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/45423674/Mathematical_Physics">Mathematical Physics</a></div><div class="wp-workCard_item"><span>Mathematical Physics</span><span>, 2021</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">This are some notes on mathematical physics. Contents: - Introduction and basics in different...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">This are some notes on mathematical physics. <br /> <br />Contents: <br />- Introduction and basics in differential geometry <br />-Symplectic geometry <br />          -Symplectic vector space <br />          -Symplectic mfd <br />          -Symplectic structure of cotangent bundle <br />          -Symplectomorphism and canonical transformation <br />          -Darboux Theorem                                                                <br />-Newtonian Mechanics <br />          -Poisson brackets <br />          -Physical interpretation <br />        -Integrability                                              <br />        -Co-adjoint orbits                                          <br />-Poisson Manifold <br />        -Poisson fields <br />        -Poisson cohomology <br />        -Classical R-matrix <br />        -Lax Representation <br />-Deformation quantization (with Kontsevich's thm)</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="620acc4573e98eee88bb20fc6d76cd79" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":67581563,"asset_id":45423674,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/67581563/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="45423674"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="45423674"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 45423674; 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="45373957"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/45373957/Representation_theory_of_groups"><img alt="Research paper thumbnail of Representation theory of groups" class="work-thumbnail" src="https://attachments.academia-assets.com/67889673/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/45373957/Representation_theory_of_groups">Representation theory of groups</a></div><div class="wp-workCard_item"><span>Representation Theory of Group</span><span>, 2021</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">Representation theory of groups: the first part concern the representation theory of finite group...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">Representation theory of groups: the first part concern the representation theory of finite groups (with also character theory) and the second part the discussion is focused on the Lie Groups/Algebras. <br /> <br />The topics are: <br /> <br />Introduction <br /> <br />Basic notions <br />One dimensional representations (abelian groups) <br />Character of a representation                                              <br />Reduction and induction of representations <br /> <br />Non finite groups ( Algebraic sets , Lie algebra) <br />Solvability and (semi-)simplicity  <br />Root systems and Dynkin diagrams <br />Universal enveloping Lie algebra <br /> <br />At the end many exercises are solved</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="81f09a3a0a94578e69a2bca772d8740c" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":67889673,"asset_id":45373957,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/67889673/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="45373957"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="45373957"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 45373957; 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="44470190"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/44470190/Statistical_Physics"><img alt="Research paper thumbnail of Statistical Physics" class="work-thumbnail" src="https://attachments.academia-assets.com/65635509/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/44470190/Statistical_Physics">Statistical Physics</a></div><div class="wp-workCard_item"><span>Statistical mechanics</span><span>, 2020</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">This are some notes on Statistical mechanics. The topics are -Recap of thermodynamics ...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">This are some notes on Statistical mechanics. <br />The topics are <br />-Recap of thermodynamics                                                      <br />-Thermodynamic of phase transitions                                                    <br />-recap of theory of ensamble                                                                                <br />-Statistical mechanics and phase transition                                                              <br />-Models (Ising in particular)                                                                                          <br />-Role of symmetry (symmetry breaking), dimension and range of interaction  <br />-Mean field theory (and Vann der Walls)                                                                    <br />-Landau Theory                      <br />-Ginzburg criterium <br />-Scaling theory (Windom) <br />-Renormalization group <br />-Symmetry breaking in other parts of physics (particles physics)</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="7ef82210b3063d8a0457e851c20c24c2" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":65635509,"asset_id":44470190,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/65635509/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="44470190"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="44470190"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 44470190; 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="44462605"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/44462605/General_Relativity"><img alt="Research paper thumbnail of General Relativity" class="work-thumbnail" src="https://attachments.academia-assets.com/65563652/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/44462605/General_Relativity">General Relativity</a></div><div class="wp-workCard_item"><span>General Relativity</span><span>, 2020</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">Notes on general relativity. The topics that are covered -Fast introduction and recap of sp...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">Notes on general relativity. <br /> <br />The topics that are covered <br />-Fast introduction and recap of special relativity                          <br />-Gravity and metrics (Rindler spacetime)                                      <br />-Basics in differential geometry                                                      <br />-Free Point particles dynamics                                                        <br />-Covariant derivatives                                                                        <br />-Newtonian limit                                                                                  <br />-Curvature and Gravity: Eintein equation (+perfect fluid)              <br />-Gravitational waves                                                                          <br />-Vielbein formalism ( Schwarzschild)                                              <br />-Symmetries and study of Schawazschild                                      <br /> <br />-Cosmological space-time (De Sitter spacetime,  Godesic and  Perfect Fluid)                                      <br /> <br />-BH Introduction                  (Approaching a horizon,  Carter-Penrose diagram , hyperbolic spacetime,  Surface gravity,  charged BH, rotating BH,    Intro to Thermodynamics) <br /> <br />-Exercises</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="4558bbb88db90441127fba1adc780d1a" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":65563652,"asset_id":44462605,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/65563652/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="44462605"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="44462605"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 44462605; 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In particular we study the...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">In this thesis we study some deformations of conformal minimal models. In particular we study the imaginary magnetic deformation of the tricritical Ising model. <br /> <br />The results and methodologies of this thesis are to be considered linked to what was known and discovered by the authors at the time of writing the thesis. There are errors (in the last chapter), then corrected in the paper: 2211.01123</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="4103f29ce3de07fcc44e81fc41156907" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":93537494,"asset_id":89795671,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/93537494/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="89795671"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="89795671"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 89795671; 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Notes prepared for the Desy theory Workshop (7.05.2024) and Desy theory workshop (14.05.2024).</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="44898ab39d4956f0e66c4d1444968cd8" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":114548488,"asset_id":119084411,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/114548488/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="119084411"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="119084411"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 119084411; 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Notes prepared...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">In these notes we explore the basics of Hawking radiation in black holes’ physics. Notes prepared for the Desy theory Workshop (13.06.2023).</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="e54cfc8743f5f28e53009e621f3a33d2" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":110083095,"asset_id":103044608,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/110083095/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="103044608"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="103044608"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 103044608; 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="83945378"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/83945378/Two_dimensional_conformal_field_theories_an_introduction"><img alt="Research paper thumbnail of Two dimensional conformal field theories: an introduction" class="work-thumbnail" src="https://attachments.academia-assets.com/89236336/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/83945378/Two_dimensional_conformal_field_theories_an_introduction">Two dimensional conformal field theories: an introduction</a></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">In these notes we are going to discuss some basic results in conformal field theories; in particu...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">In these notes we are going to discuss some basic results in conformal field theories; in particular we will see why the two dimensional case is a special case and we will discuss how to construct the Hilbert space, compute correlation functions and the Hamiltonian of the theory.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="e2b42aa011c26389e4cddb56adf97c99" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":89236336,"asset_id":83945378,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/89236336/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="83945378"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="83945378"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 83945378; 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="59800893"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/59800893/Introduction_to_String_theory_and_Sugra"><img alt="Research paper thumbnail of Introduction to String theory and Sugra" class="work-thumbnail" src="https://attachments.academia-assets.com/78150479/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/59800893/Introduction_to_String_theory_and_Sugra">Introduction to String theory and Sugra</a></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">This are some notes of introduction on string theories. This notes include -Classical Strings ...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">This are some notes of introduction on string theories. This notes include <br /> <br />-Classical Strings ( Why string theory?, The point particle theory, The Nambu-Goto Action and the Polyakov action, Equations of motion, constrains and mode expansion) <br /> <br />-Quantization of strings( Covariant quantization, Lightcone quantization, Casimir energy, String Spectrum, Lorentz invariance, Comments on superstrings) <br /> <br />- Open strings and D − Branes (Open strings spectra, The Dirac action, Multiple branes: where are strings?) <br /> <br />-CFT (Stress energy tensor and Nöether charges, Operator product expansion,  Virasoro Algebra, Example: The free scalar field, central charges, Something about CFTs with boundary) <br /> <br />-Path integral formulation of strings (The ghost CFT, An aside: Liouville quantum gravity, States and vertex operators, Examples: closed and open string in flat space). <br /> <br />-String interactions (closed string amplitude, open string amplitude,  one loop amplitude, partition function: a node to string field theory). <br /> <br />-Effective action and low energy (Einstein equations, string effective action, solution of e.o.m., compactification and moduli) <br /> <br />-Sugra (from global to local Susy, the gravitino, Gravity as (a sort of) gauge theory, pure N=1 Sugra in D= 4, pure N=1 Sugra in D= 4 with Cosmological constant , matter couplings, physical feature of Sugra, Super-Higgs mechanism, Duality , extended SuGra, Black holes in N=2 Sugra)</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="baa79b4dee595a384ea26e5f42699652" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":78150479,"asset_id":59800893,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/78150479/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="59800893"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="59800893"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 59800893; 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="50953880"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/50953880/Spin_statistics_theorem_from_Wightmans_axioms"><img alt="Research paper thumbnail of Spin-statistics theorem from Wightman's axioms" class="work-thumbnail" src="https://attachments.academia-assets.com/69193741/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/50953880/Spin_statistics_theorem_from_Wightmans_axioms">Spin-statistics theorem from Wightman's axioms</a></div><div class="wp-workCard_item"><span>Spin-Statistics theorem</span><span>, 2021</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">In quantum mechanics the Pauli exclusion principle plays a crucial role in the description of nat...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">In quantum mechanics the Pauli exclusion principle plays a crucial role in the description of nature (not least for the explaination of the Mendelejev's table of elements). This principle connects the symmetry or antisymmetry of the N −particle wave functions of identical particles with the spins, in particular with integer or half-integer spins, respectively. Our pourpose is to discuss the nature of this principle from a QFT point of view, in particular we will prove the Spin-statistics theorem, which is the rigorous statement of the Pauli principle, assuming the Wightman's axioms (to be honest the Wightman axioms for the Wightman's distributions). In order to do that, after a review of theWightaman's axioms, we will discuss first the free case, since this case is somehow special and we don't need many assumptions; then we will discuss the general case.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="f12bc25a2751eb2f0ca225abe7397394" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":69193741,"asset_id":50953880,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/69193741/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="50953880"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="50953880"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 50953880; 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="50129237"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/50129237/Naturalness_problem_in_Standard_model"><img alt="Research paper thumbnail of Naturalness problem in Standard model" class="work-thumbnail" src="https://attachments.academia-assets.com/68230435/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/50129237/Naturalness_problem_in_Standard_model">Naturalness problem in Standard model</a></div><div class="wp-workCard_item"><span>Naturalness problem in Standard model</span><span>, 2021</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">Naturalness has been for many years a very hot topic in particle physics, but in particular after...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">Naturalness has been for many years a very hot topic in particle physics, but in particular after the last run of LHC in 2016 it has become more and more important. Not finding evidence for new processes at the TeV energies made the community doubt of their understanding of modern physics. We want to discuss what is this problem and how does it present itself in the Standard Model. Then we continue with the calculation for the correction to the mass of the Higgs, which is the particle protagonist of this report; calculate its β function and in the end describe qualitatively some of the solutions proposed for the naturalness problem.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="09eb486f2d64442afe9f3753d37b4d43" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":68230435,"asset_id":50129237,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/68230435/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="50129237"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="50129237"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 50129237; 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="46884055"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/46884055/Effective_field_theory"><img alt="Research paper thumbnail of Effective field theory" class="work-thumbnail" src="https://attachments.academia-assets.com/67859250/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/46884055/Effective_field_theory">Effective field theory</a></div><div class="wp-workCard_item"><span>Effective field theory</span><span>, 2021</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">This are some note on effective field theory. The content are -Introduction -Classification o...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">This are some note on effective field theory. The content are <br /> <br />-Introduction <br />-Classification of operator <br />-Wilsonian action <br />-Fermi Theory  <br />-Non relativistic QED <br />-S matrix equivalence theorem <br /> <br />-Loops and EFT <br />-Low energy QED <br />-Birifrangence of vacuum <br />-Positivity bound <br />-Loops, dimension and EFT <br />-Accidental symmetries <br />-EFT at the non-perturbative level <br />-Anomalies in QFT <br />-Chiral anomaly in QED and pion decay <br /> <br />-Exercies</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="fb16beb4c1a6960ac0446eb29a3e3e45" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":67859250,"asset_id":46884055,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/67859250/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="46884055"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="46884055"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 46884055; 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="45423674"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/45423674/Mathematical_Physics"><img alt="Research paper thumbnail of Mathematical Physics" class="work-thumbnail" src="https://attachments.academia-assets.com/67581563/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/45423674/Mathematical_Physics">Mathematical Physics</a></div><div class="wp-workCard_item"><span>Mathematical Physics</span><span>, 2021</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">This are some notes on mathematical physics. Contents: - Introduction and basics in different...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">This are some notes on mathematical physics. <br /> <br />Contents: <br />- Introduction and basics in differential geometry <br />-Symplectic geometry <br />          -Symplectic vector space <br />          -Symplectic mfd <br />          -Symplectic structure of cotangent bundle <br />          -Symplectomorphism and canonical transformation <br />          -Darboux Theorem                                                                <br />-Newtonian Mechanics <br />          -Poisson brackets <br />          -Physical interpretation <br />        -Integrability                                              <br />        -Co-adjoint orbits                                          <br />-Poisson Manifold <br />        -Poisson fields <br />        -Poisson cohomology <br />        -Classical R-matrix <br />        -Lax Representation <br />-Deformation quantization (with Kontsevich's thm)</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="620acc4573e98eee88bb20fc6d76cd79" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":67581563,"asset_id":45423674,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/67581563/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="45423674"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="45423674"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 45423674; 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="45373957"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/45373957/Representation_theory_of_groups"><img alt="Research paper thumbnail of Representation theory of groups" class="work-thumbnail" src="https://attachments.academia-assets.com/67889673/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/45373957/Representation_theory_of_groups">Representation theory of groups</a></div><div class="wp-workCard_item"><span>Representation Theory of Group</span><span>, 2021</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">Representation theory of groups: the first part concern the representation theory of finite group...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">Representation theory of groups: the first part concern the representation theory of finite groups (with also character theory) and the second part the discussion is focused on the Lie Groups/Algebras. <br /> <br />The topics are: <br /> <br />Introduction <br /> <br />Basic notions <br />One dimensional representations (abelian groups) <br />Character of a representation                                              <br />Reduction and induction of representations <br /> <br />Non finite groups ( Algebraic sets , Lie algebra) <br />Solvability and (semi-)simplicity  <br />Root systems and Dynkin diagrams <br />Universal enveloping Lie algebra <br /> <br />At the end many exercises are solved</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="81f09a3a0a94578e69a2bca772d8740c" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":67889673,"asset_id":45373957,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/67889673/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="45373957"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="45373957"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 45373957; 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="44470190"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/44470190/Statistical_Physics"><img alt="Research paper thumbnail of Statistical Physics" class="work-thumbnail" src="https://attachments.academia-assets.com/65635509/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/44470190/Statistical_Physics">Statistical Physics</a></div><div class="wp-workCard_item"><span>Statistical mechanics</span><span>, 2020</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">This are some notes on Statistical mechanics. The topics are -Recap of thermodynamics ...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">This are some notes on Statistical mechanics. <br />The topics are <br />-Recap of thermodynamics                                                      <br />-Thermodynamic of phase transitions                                                    <br />-recap of theory of ensamble                                                                                <br />-Statistical mechanics and phase transition                                                              <br />-Models (Ising in particular)                                                                                          <br />-Role of symmetry (symmetry breaking), dimension and range of interaction  <br />-Mean field theory (and Vann der Walls)                                                                    <br />-Landau Theory                      <br />-Ginzburg criterium <br />-Scaling theory (Windom) <br />-Renormalization group <br />-Symmetry breaking in other parts of physics (particles physics)</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="7ef82210b3063d8a0457e851c20c24c2" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":65635509,"asset_id":44470190,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/65635509/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="44470190"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="44470190"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 44470190; 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="44462605"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/44462605/General_Relativity"><img alt="Research paper thumbnail of General Relativity" class="work-thumbnail" src="https://attachments.academia-assets.com/65563652/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/44462605/General_Relativity">General Relativity</a></div><div class="wp-workCard_item"><span>General Relativity</span><span>, 2020</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">Notes on general relativity. The topics that are covered -Fast introduction and recap of sp...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">Notes on general relativity. <br /> <br />The topics that are covered <br />-Fast introduction and recap of special relativity                          <br />-Gravity and metrics (Rindler spacetime)                                      <br />-Basics in differential geometry                                                      <br />-Free Point particles dynamics                                                        <br />-Covariant derivatives                                                                        <br />-Newtonian limit                                                                                  <br />-Curvature and Gravity: Eintein equation (+perfect fluid)              <br />-Gravitational waves                                                                          <br />-Vielbein formalism ( Schwarzschild)                                              <br />-Symmetries and study of Schawazschild                                      <br /> <br />-Cosmological space-time (De Sitter spacetime,  Godesic and  Perfect Fluid)                                      <br /> <br />-BH Introduction                  (Approaching a horizon,  Carter-Penrose diagram , hyperbolic spacetime,  Surface gravity,  charged BH, rotating BH,    Intro to Thermodynamics) <br /> <br />-Exercises</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="4558bbb88db90441127fba1adc780d1a" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":65563652,"asset_id":44462605,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/65563652/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="44462605"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="44462605"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 44462605; 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