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<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">     <html xmlns="http://www.w3.org/1999/xhtml" lang="ru" xml:lang="ru" xmlns:og="http://ogp.me/ns#" xmlns:fb="http://ogp.me/ns/fb#"> <head> <title>Topological Susceptibility under Gradient Flow - CERN Document Server</title> <link href='https://framework.web.cern.ch/framework/2.0/fonts/PTSansWeb/PTSansWeb.css' rel='stylesheet' type='text/css' /> <link rel="stylesheet" href="https://cds.cern.ch/img/invenio.css?v=20141127" type="text/css" /> <link rel="stylesheet" href="https://cds.cern.ch/img/cern_theme/css/cern_theme.css?v=20141127" type="text/css" /> <link rel="stylesheet"href="/css/font-awesome.min.css"> <meta http-equiv="X-UA-Compatible" content="IE=Edge"/> <link rel="stylesheet" href="https://cds.cern.ch/img/cern_toolbar/css/toolbar.css" type="text/css" />    <link rel="canonical" href="https://cds.cern.ch/record/2298635" /> <link rel="alternate" hreflang="el" href="https://cds.cern.ch/record/2298635?ln=el" /> <link rel="alternate" hreflang="fr" href="https://cds.cern.ch/record/2298635?ln=fr" /> <link rel="alternate" hreflang="bg" href="https://cds.cern.ch/record/2298635?ln=bg" /> <link rel="alternate" hreflang="zh-TW" href="https://cds.cern.ch/record/2298635?ln=zh_TW" /> <link rel="alternate" hreflang="pt" href="https://cds.cern.ch/record/2298635?ln=pt" /> <link rel="alternate" hreflang="no" href="https://cds.cern.ch/record/2298635?ln=no" /> <link rel="alternate" hreflang="hr" href="https://cds.cern.ch/record/2298635?ln=hr" /> <link rel="alternate" hreflang="ca" href="https://cds.cern.ch/record/2298635?ln=ca" /> <link rel="alternate" hreflang="de" href="https://cds.cern.ch/record/2298635?ln=de" /> <link rel="alternate" hreflang="it" href="https://cds.cern.ch/record/2298635?ln=it" /> <link rel="alternate" hreflang="zh-CN" href="https://cds.cern.ch/record/2298635?ln=zh_CN" /> <link rel="alternate" hreflang="sv" href="https://cds.cern.ch/record/2298635?ln=sv" /> <link rel="alternate" hreflang="sk" href="https://cds.cern.ch/record/2298635?ln=sk" /> <link rel="alternate" hreflang="en" href="https://cds.cern.ch/record/2298635?ln=en" /> <link rel="alternate" hreflang="pl" href="https://cds.cern.ch/record/2298635?ln=pl" /> <link rel="alternate" hreflang="ru" href="https://cds.cern.ch/record/2298635?ln=ru" /> <link rel="alternate" hreflang="ka" href="https://cds.cern.ch/record/2298635?ln=ka" /> <link rel="alternate" hreflang="ja" href="https://cds.cern.ch/record/2298635?ln=ja" /> <link rel="alternate" hreflang="es" href="https://cds.cern.ch/record/2298635?ln=es" /> <link rel="alternate" type="application/rss+xml" title="CERN Document Server RSS" href="/rss?ln=ru" /> <link rel="search" type="application/opensearchdescription+xml" href="https://cds.cern.ch/opensearchdescription" title="CERN Document Server" /> <link rel="unapi-server" type="application/xml" title="unAPI" href="https://cds.cern.ch/unapi" /> <link rel="apple-touch-icon" href="/apple-touch-icon.png"/> <link rel="apple-touch-icon-precomposed" href="/apple-touch-icon-precomposed.png"/> <meta http-equiv="Content-Type" content="text/html; charset=utf-8" /> <meta http-equiv="Content-Language" content="ru" /> <meta name="description" content="We study the impact of the Gradient Flow on the topology in various models of lattice field theory. The topological susceptibility Xt is measured directly, and by the slab method, which is based on the topological content of sub-volumes (“slabs”) and estimates Xt even when the system remains trapped in a fixed topological sector. The results obtained by both methods are essentially consistent, but the impact of the Gradient Flow on the characteristic quantity of the slab method seems to be different in 2-flavour QCD and in the 2d O(3) model. In the latter model, we further address the question whether or not the Gradient Flow leads to a finite continuum limit of the topological susceptibility (rescaled by the correlation length squared, ξ2). This ongoing study is based on direct measurements of Xt in L × L lattices, at L/ξ ≃6. We study the impact of the Gradient Flow on the topology in various models of lattice field theory. The topological susceptibility $\chi_{\rm t}$ is measured directly, and by the slab method, which is based on the topological content of sub-volumes ("slabs") and estimates $\chi_{\rm t}$ even when the system remains trapped in a fixed topological sector. The results obtained by both methods are essentially consistent, but the impact of the Gradient Flow on the characteristic quantity of the slab method seems to be different in 2-flavour QCD and in the 2d O(3) model. In the latter model, we further address the question whether or not the Gradient Flow leads to a finite continuum limit of the topological susceptibility (rescaled by the correlation length squared, $\xi^{2}$). This ongoing study is based on direct measurements of $\chi_{\rm t}$ in $L \times L$ lattices, at $L/\xi \simeq 6$. Mejía-Díaz, Héctor; Bietenholz, Wolfgang; Cichy, Krzysztof; de Forcrand, Philippe; Dromard, Arthur; Gerber, Urs; Sandoval, Ilya Orson" /> <meta name="keywords" content="CERN Document Server, WebSearch, CERN Document Server" /> <script type="text/javascript" src="https://cds.cern.ch/js/jquery.min.js"></script>  <link rel="stylesheet" href="https://cds.cern.ch/img/webnews.css" type="text/css" />  <script type="text/javascript" src="https://cds.cern.ch/js/webnews.js?v=20131009"></script> <meta property="fb:app_id" content="137353533001720"/> <script type="text/x-mathjax-config"> MathJax.Hub.Config({ tex2jax: {inlineMath: [['$','$']], processEscapes: true}, showProcessingMessages: false, messageStyle: "none" }); </script> <script src="/MathJax/MathJax.js?config=TeX-AMS_CHTML" type="text/javascript"> </script>  <meta content="arXiv : Topological Susceptibility under Gradient Flow" name="citation_title" /> <meta content="Mejía-Díaz, Héctor" name="citation_author" /> <meta content="Cichy, Krzysztof" name="citation_author" /> <meta content="Dromard, Arthur" name="citation_author" /> <meta content="Gerber, Urs" name="citation_author" /> <meta content="Sandoval, Ilya Orson" name="citation_author" /> <meta content="Bietenholz, Wolfgang" name="citation_author" /> <meta content="de Forcrand, Philippe" name="citation_author" /> <meta content="10.1051/epjconf/201817511024" name="citation_doi" /> <meta content="EPJ Web Conf." name="citation_journal_title" /> <meta content="175" name="citation_volume" /> <meta content="11024" name="citation_firstpage" /> <meta content="2017/12/04" name="citation_publication_date" /> <meta name="citation_online_date" content="2017/12/20"> <meta content="arXiv:1712.01395" name="citation_technical_report_number" /> <meta content="10.1051/epjconf/201817511024" name="citation_doi" /> <meta name="citation_pdf_url" content="https://cds.cern.ch/record/2298635/files/arXiv:1712.01395.pdf" /> <meta name="citation_pdf_url" content="https://cds.cern.ch/record/2298635/files/epjconf_lattice2018_11024.pdf" />  <meta content="Topological Susceptibility under Gradient Flow" property="og:title" /> <meta content="arXiv" property="og:title" /> <meta content="website" property="og:type" /> <meta content="website" property="og:type" /> <meta content="https://cds.cern.ch/record/2298635" property="og:url" /> <meta name="twitter:image" content="https://cds.cern.ch/record/2298635/files/reference_nogrid-cropped.png" /> <meta property="og:image" content="https://cds.cern.ch/record/2298635/files/reference_nogrid-cropped.png" /> <meta property="og:image:secure_url" content="https://cds.cern.ch/record/2298635/files/reference_nogrid-cropped.png" /> <meta property="og:image" content="https://cds.cern.ch/record/2298635/files/QCDchit-cropped.png" /> <meta property="og:image:secure_url" content="https://cds.cern.ch/record/2298635/files/QCDchit-cropped.png" /> <meta property="og:image" content="https://cds.cern.ch/record/2298635/files/qprime_vs_x_L120-cropped.png" /> <meta property="og:image:secure_url" content="https://cds.cern.ch/record/2298635/files/qprime_vs_x_L120-cropped.png" /> <meta property="og:image" content="https://cds.cern.ch/record/2298635/files/chitGFslabB2L100c-cropped.png" /> <meta property="og:image:secure_url" content="https://cds.cern.ch/record/2298635/files/chitGFslabB2L100c-cropped.png" /> <meta property="og:image" content="https://cds.cern.ch/record/2298635/files/ascenso_nogrid-cropped.png" /> <meta property="og:image:secure_url" content="https://cds.cern.ch/record/2298635/files/ascenso_nogrid-cropped.png" /> <meta property="og:image" content="https://cds.cern.ch/record/2298635/files/CorrelFunc_L120_v3-cropped.png" /> <meta property="og:image:secure_url" content="https://cds.cern.ch/record/2298635/files/CorrelFunc_L120_v3-cropped.png" /> <meta property="og:image" content="https://cds.cern.ch/record/2298635/files/descenso_reversed-cropped.png" /> <meta property="og:image:secure_url" content="https://cds.cern.ch/record/2298635/files/descenso_reversed-cropped.png" /> <meta property="og:image" content="https://cds.cern.ch/record/2298635/files/cst_t0-cropped.png" /> <meta property="og:image:secure_url" content="https://cds.cern.ch/record/2298635/files/cst_t0-cropped.png" /> <meta property="og:image" content="https://cds.cern.ch/record/2298635/files/chi_vs_t_L120-cropped.png" /> <meta property="og:image:secure_url" content="https://cds.cern.ch/record/2298635/files/chi_vs_t_L120-cropped.png" /> <meta property="og:image" content="https://cds.cern.ch/record/2298635/files/slabB2L100Q2meas2e6-cropped.png" /> <meta property="og:image:secure_url" content="https://cds.cern.ch/record/2298635/files/slabB2L100Q2meas2e6-cropped.png" /> <meta content="CERN Document Server" property="og:site_name" /> <meta content="We study the impact of the Gradient Flow on the topology in various models of lattice field theory. The topological susceptibility Xt is measured directly, and by the slab method, which is based on the topological content of sub-volumes (“slabs”) and estimates Xt even when the system remains trapped in a fixed topological sector. The results obtained by both methods are essentially consistent, but the impact of the Gradient Flow on the characteristic quantity of the slab method seems to be different in 2-flavour QCD and in the 2d O(3) model. In the latter model, we further address the question whether or not the Gradient Flow leads to a finite continuum limit of the topological susceptibility (rescaled by the correlation length squared, ξ2). This ongoing study is based on direct measurements of Xt in L × L lattices, at L/ξ ≃6." property="og:description" /> <meta content="arXiv" property="og:description" /> <meta content="We study the impact of the Gradient Flow on the topology in various models of lattice field theory. The topological susceptibility $\chi_{\rm t}$ is measured directly, and by the slab method, which is based on the topological content of sub-volumes (&quot;slabs&quot;) and estimates $\chi_{\rm t}$ even when the system remains trapped in a fixed topological sector. The results obtained by both methods are essentially consistent, but the impact of the Gradient Flow on the characteristic quantity of the slab method seems to be different in 2-flavour QCD and in the 2d O(3) model. In the latter model, we further address the question whether or not the Gradient Flow leads to a finite continuum limit of the topological susceptibility (rescaled by the correlation length squared, $\xi^{2}$). This ongoing study is based on direct measurements of $\chi_{\rm t}$ in $L \times L$ lattices, at $L/\xi \simeq 6$." property="og:description" /> <meta content="EDP Sciences" property="og:description" />  <meta content="summary" name="twitter:card" /> <meta content="summary" name="twitter:card" /> <style></style> </head> <body class="CERN32Document32Server search" lang="ru">  <div id="cern-toolbar"> <h1><a href="http://cern.ch" title="CERN">CERN <span>Accelerating science</span></a></h1> <ul> <li class="cern-accountlinks"><a class="cern-account" href="https://cds.cern.ch/youraccount/login?ln=ru&referer=https%3A//cds.cern.ch/record/2298635%3Fln%3Dru" title="Sign in to your CERN account">Sign in</a></li> <li><a class="cern-directory" href="http://cern.ch/directory" title="Search CERN resources and browse the directory">Directory</a></li> </ul> </div>   <div role="banner" class="clearfix" id="header"> <div class="header-inner inner"> <hgroup class="clearfix"> <h2 id="site-name"> <a rel="home" title="Home" href="/"><span>CERN Document Server</span></a> </h2> <h3 id="site-slogan">Access articles, reports and multimedia content in HEP</h3> </hgroup> <div role="navigation" id="main-navigation" class="cdsmenu"> <h2 class="element-invisible">Main menu</h2><ul class="links inline clearfix"> <li class="menu-386 first active-trail"><a class="active-trail" href="https://cds.cern.ch/?ln=ru">Искать</a></li> <li class="menu-444 "><a class="" title="" href="https://cds.cern.ch/submit?ln=ru">Внести</a></li> <li class="menu-426 "><a class="" href="https://cds.cern.ch/help/?ln=ru">Помощь</a></li> <li class="leaf hassubcdsmenu"> <a hreflang="en" class="header" href="https://cds.cern.ch/youraccount/display?ln=ru">Персонализовать</a> <ul class="subsubcdsmenu"><li><a href="https://cds.cern.ch/youralerts/list?ln=ru">Ваши оповещения</a></li><li><a href="https://cds.cern.ch/yourbaskets/display?ln=ru">Ваши книжные полки</a></li><li><a href="https://cds.cern.ch/yourcomments?ln=ru">Your comments</a></li><li><a href="https://cds.cern.ch/youralerts/display?ln=ru">Ваши поисковые запросы</a></li></ul></li> </ul> </div> </div> </div>  <table class="navtrailbox"> <tr> <td class="navtrailboxbody"> <a href="/?ln=ru" class="navtrail">Главная страница</a> > Topological Susceptibility under Gradient Flow </td> </tr> </table> </div> <div class="pagebody"><div class="pagebodystripemiddle"> <div class="detailedrecordbox"> <div class="detailedrecordtabs"> <div> <ul class="detailedrecordtabs"><li class="on first"><a href="/record/2298635/?ln=ru">Информация </a></li><li class=""><a href="/record/2298635/files?ln=ru">Файлы </a></li></ul> <div id="tabsSpacer" style="clear:both;height:0px"> </div></div> </div> <div class="detailedrecordboxcontent"> <div class="top-left-folded"></div> <div class="top-right-folded"></div> <div class="inside">  <abbr class="unapi-id" title="2298635"></abbr> <style type="text/css">  </style> <table class="formatRecordTableFullWidth" > <tr> <td class="formatRecordHeader" style="background-image: url('https://cds.cern.ch/img/journals.jpg');" colspan="2">  Article </td> </tr> <script type="text/javascript"> $( document ).ready(function() { $('.showAuthor').on('click', function() { var author = '<p>' + $(this).data('name') + '</p>'; var affiliation = $(this).data('affiliation') + '</br>'; var contribution = $(this).data('contribution') + '</br>'; $.magnificPopup.open({ items: { src: '<div id="ovelary-mathjax" class="overlay-white oc-content overlay-white-500">' + author + affiliation + contribution + '</div>', type: 'inline' }, callbacks: { open: function() { var div = document.getElementById("overlay-mathjax") MathJax.Hub.Queue(["Typeset", MathJax.Hub, div]); }, } }) }) }); </script> <tr><td class="formatRecordLabel"> Report number </td><td style="padding-left:5px;"><a href="http://arxiv.org/abs/arXiv:1712.01395">arXiv:1712.01395</a></td></tr> <tr><td class="formatRecordLabel"> Title </td><td style="padding-left:5px;"><b>Topological Susceptibility under Gradient Flow</b></td></tr> <tr><td class="formatRecordLabel" style="vertical-align:top;">Related title</td><td style="padding-left:5px; ">Topological Susceptibility under Gradient Flow<br/></td></tr> <tr><td class="formatRecordLabel"><span style="white-space:nowrap;"> Author(s) </span> </td><td style="padding-left:5px;"><a href="https://cds.cern.ch/search?f=author&p=Mej%C3%ADa-D%C3%ADaz%2C%20H%C3%A9ctor&ln=ru">Mejía-Díaz, Héctor</a> (Mexico U., ICN) ; <a href="https://cds.cern.ch/search?f=author&p=Bietenholz%2C%20Wolfgang&ln=ru">Bietenholz, Wolfgang</a> (Mexico U., ICN) ; <a href="https://cds.cern.ch/search?f=author&p=Cichy%2C%20Krzysztof&ln=ru">Cichy, Krzysztof</a> (Frankfurt U. ; Mickiewicz U., Poznan) ; <a href="https://cds.cern.ch/search?f=author&p=de%20Forcrand%2C%20Philippe&ln=ru">de Forcrand, Philippe</a> (CERN ; Zurich, ETH) ; <a href="https://cds.cern.ch/search?f=author&p=Dromard%2C%20Arthur&ln=ru">Dromard, Arthur</a> (Regensburg U.) ; <a href="https://cds.cern.ch/search?f=author&p=Gerber%2C%20Urs&ln=ru">Gerber, Urs</a> (IFM-UMSNH, Michoacan ; Mexico U., ICN) ; <a href="https://cds.cern.ch/search?f=author&p=Sandoval%2C%20Ilya%20Orson&ln=ru">Sandoval, Ilya Orson</a> (Mexico U., ICN)</td></tr> <tr><td class="formatRecordLabel"> Publication </td><td style="padding-left:5px;">2018</td></tr> <tr><td class="formatRecordLabel"> Imprint </td><td style="padding-left:5px;">2017-12-04</td></tr> <tr><td class="formatRecordLabel"> Number of pages </td><td style="padding-left:5px;">8</td></tr> <tr><td class="formatRecordLabel"> Note </td><td style="padding-left:5px;">8 pages, LaTex, 5 figures, talk presented at the 35th International Symposium on Lattice Field Theory, June 18-24, 2017, Granada, Spain</td></tr> <tr><td class="formatRecordLabel"> In: </td><td style="padding-left:5px;"><a href="http://dx.doi.org/10.1051/epjconf/201817511024"><i>EPJ Web Conf.</i> 175 (2018) 11024</a> </a></td></tr> <tr><td class="formatRecordLabel"> In: </td><td style="padding-left:5px;"><a href="https://cds.cern.ch/record/2683005">35th International Symposium on Lattice Field Theory</a>, Granada, Spain, 18 - 24 Jun 2017, pp.11024</td></tr> <tr><td class="formatRecordLabel"> DOI </td><td style="padding-left:5px;"><a href="http://dx.doi.org/10.1051/epjconf/201817511024" title="DOI" target="_blank">10.1051/epjconf/201817511024</a> <tr><td class="formatRecordLabel"> Subject category </td><td style="padding-left:5px;">hep-lat ; Particle Physics - Lattice</td></tr> <tr><td class="formatRecordLabel"> Abstract </td><td style="padding-left:5px;">We study the impact of the Gradient Flow on the topology in various models of lattice field theory. The topological susceptibility $\chi_{\rm t}$ is measured directly, and by the slab method, which is based on the topological content of sub-volumes ("slabs") and estimates $\chi_{\rm t}$ even when the system remains trapped in a fixed topological sector. The results obtained by both methods are essentially consistent, but the impact of the Gradient Flow on the characteristic quantity of the slab method seems to be different in 2-flavour QCD and in the 2d O(3) model. In the latter model, we further address the question whether or not the Gradient Flow leads to a finite continuum limit of the topological susceptibility (rescaled by the correlation length squared, $\xi^{2}$). This ongoing study is based on direct measurements of $\chi_{\rm t}$ in $L \times L$ lattices, at $L/\xi \simeq 6$.</td></tr> <tr><td class="formatRecordLabel"> Copyright/License </td><td style="padding-left:5px;"><a href="http://arxiv.org/licenses/nonexclusive-distrib/1.0/">arXiv nonexclusive-distrib. 1.0</a>, <a href="http://creativecommons.org/licenses/by/4.0/">CC-BY-4.0</a></td></tr> </table> <br /><div style="max-width:1024px;margin:auto"><div style="overflow-x:auto;display:inline;width:100%;"><a href="/record/2298635/plots#0"><img style="vertical-align:middle;" src="https://cds.cern.ch/record/2298635/files/cst_t0-cropped.png" title=" width=7cm,clipwidth=7.1cm,clip" width="200px"/></a> <a href="/record/2298635/plots#1"><img style="vertical-align:middle;" src="https://cds.cern.ch/record/2298635/files/QCDchit-cropped.png" title=" On the left: the expectation value $\la q{'}^{2} \ra$, as a function of the parameter $x = V_{\rm slab}/V$, in 2-flavour QCD, in the sector $|Q|=1$. Combined fits to eq.\ (\ref{extend}), in the sectors $|Q|\leq 2$, at different instances of the GF time, lead to the results for the topological susceptibility $\chi_{\rm t}$ in the plot on the right. They agree with a direct measurement, and with the method of Ref.\ \cite{AFHO} (AFHO method).Caption not extracted" width="200px"/></a> <a href="/record/2298635/plots#2"><img style="vertical-align:middle;" src="https://cds.cern.ch/record/2298635/files/qprime_vs_x_L120-cropped.png" title=" width=7cm,clip" width="200px"/></a> <a href='/record/2298635/plots'>Show more plots</a></div></div><br /> <br/>Corresponding record in: <a href="http://inspirehep.net/record/1641083">Inspire</a> <small> </small> <br/> <br/><br/><div align="right"><div style="padding-bottom:2px;padding-top:30px;"><span class="moreinfo" style="margin-right:10px;"> <a href="" class="moreinfo">Back to search</a> </span></div></div> <div class="bottom-left-folded"><div class="recordlastmodifiedbox" style="position:relative;margin-left:1px"> Запись создана 2017-12-20, последняя модификация 2023-03-14</div></div> <div class="bottom-right-folded" style="text-align:right;padding-bottom:2px;"> <span class="moreinfo" style="margin-right:10px;"><a href="/search?ln=ru&p=recid%3A2298635&rm=wrd" class="moreinfo">Подобные записи</a></span></div> </div> </div> </div> <br/> <br /> <div class="detailedrecordminipanel"> <div class="top-left"></div><div class="top-right"></div> <div class="inside"> <div id="detailedrecordminipanelfile" style="width:33%;float:left;text-align:center;margin-top:0"> <div><small class="detailedRecordActions">Полный текст:</small> <br /><em>epjconf_lattice2018_11024</em> - <a href="/record/2298635/files/epjconf_lattice2018_11024.pdf"><img style="border:none" src="/img/file-icon-text-12x16.gif" alt="Загрузка полного текста"/>PDF</a><br /><em>arXiv:1712.01395</em> - <a href="/record/2298635/files/arXiv:1712.01395.pdf"><img style="border:none" src="/img/file-icon-text-12x16.gif" alt="Загрузка полного текста"/>PDF</a><br /></div> </div> <div id="detailedrecordminipanelreview" style="width:30%;float:left;text-align:center"> </div> <div id="detailedrecordminipanelactions" style="width:36%;float:right;text-align:right;"> <ul class="detailedrecordactions"> <li><a href="/yourbaskets/add?ln=ru&recid=2298635">Добавить в личную книжную полку</a></li> <li>Экспортировать как <a style="text-decoration:underline;font-weight:normal" href="/record/2298635/export/hx?ln=ru">BibTeX</a>, <a style="text-decoration:underline;font-weight:normal" href="/record/2298635/export/hm?ln=ru">MARC</a>, <a style="text-decoration:underline;font-weight:normal" href="/record/2298635/export/xm?ln=ru">MARCXML</a>, <a style="text-decoration:underline;font-weight:normal" href="/record/2298635/export/xd?ln=ru">DC</a>, <a style="text-decoration:underline;font-weight:normal" href="/record/2298635/export/xe?ln=ru">EndNote</a>,  <a style="text-decoration:underline;font-weight:normal" href="/record/2298635/export/xn?ln=ru">NLM</a>, <a style="text-decoration:underline;font-weight:normal" href="/record/2298635/export/xw?ln=ru">RefWorks</a> </li> </ul> <div style='padding-left: 13px;'>  <div id="bookmark"></div> <div id="bookmark_sciencewise"></div> <style type="text/css"> #bookmark_sciencewise, #bookmark {float: left;} #bookmark_sciencewise li {padding: 2px; width: 25px;} #bookmark_sciencewise ul, #bookmark ul {list-style-image: none;} </style> <script type="text/javascript" src="/js/jquery.bookmark.min.js"></script> <style type="text/css">@import "/css/jquery.bookmark.css";</style> <script type="text/javascript">// <![CDATA[ $.bookmark.addSite('sciencewise', 'ScienceWise.info', 'https://cds.cern.ch/img/sciencewise.png', 'en', 'bookmark', 'http://sciencewise.info/bookmarks/1712.0139/add'); $('#bookmark_sciencewise').bookmark({sites: ['sciencewise']}); $('#bookmark').bookmark({ sites: ['facebook', 'twitter', 'linkedin', 'google_plusone'], icons: '/img/bookmarks.png', url: 'https://cds.cern.ch/record/2298635', addEmail: true, title: "Topological Susceptibility under Gradient Flow", description: "We study the impact of the Gradient Flow on the topology in various models of lattice field theory. The topological susceptibility Xt is measured directly, and by the slab method, which is based on the topological content of sub-volumes (\u201cslabs\u201d) and estimates Xt even when the system remains trapped in a fixed topological sector. The results obtained by both methods are essentially consistent, but the impact of the Gradient Flow on the characteristic quantity of the slab method seems to be different in 2-flavour QCD and in the 2d O(3) model. In the latter model, we further address the question whether or not the Gradient Flow leads to a finite continuum limit of the topological susceptibility (rescaled by the correlation length squared, \u03be2). 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