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Accurate stochastic estimates of the expectation values of local observables may therefore be obtained from a single representative field. Such master-field simulations potentially allow very large lattices to be simulated, but require various conceptual and technical issues to be addressed. In this talk, an introduction to the subject is provided and some encouraging results of master-field simulations of the SU(3) gauge theory are reported. 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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:1707.09758">arXiv:1707.09758</a> ; CERN-TH-2017-171</td></tr> <tr><td class="formatRecordLabel"> Title </td><td style="padding-left:5px;"><b>Stochastic locality and master-field simulations of very large lattices</b></td></tr> <tr><td class="formatRecordLabel" style="vertical-align:top;">Related title</td><td style="padding-left:5px; ">Stochastic locality and master-field simulations of very large lattices<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=L%C3%BCscher%2C%20Martin&ln=pl">Lüscher, Martin</a> (CERN)</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;">2017-07-31</td></tr> <tr><td class="formatRecordLabel"> Number of pages </td><td style="padding-left:5px;">16</td></tr> <tr><td class="formatRecordLabel"> Note </td><td style="padding-left:5px;">Talk given at the 35th International Symposium on Lattice Field Theory, 18-24 June 2017, Granada, Spain; LaTeX source with 6 figures</td></tr> <tr><td class="formatRecordLabel"> In: </td><td style="padding-left:5px;"><a href="http://dx.doi.org/10.1051/epjconf/201817501002"><i>EPJ Web Conf.</i> 175 (2018) 01002</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.01002</td></tr> <tr><td class="formatRecordLabel"> DOI </td><td style="padding-left:5px;"><a href="http://dx.doi.org/10.1051/epjconf/201817501002" title="DOI" target="_blank">10.1051/epjconf/201817501002</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;">In lattice QCD and other field theories with a mass gap, the field variables in distant regions of a physically large lattice are only weakly correlated. Accurate stochastic estimates of the expectation values of local observables may therefore be obtained from a single representative field. Such master-field simulations potentially allow very large lattices to be simulated, but require various conceptual and technical issues to be addressed. In this talk, an introduction to the subject is provided and some encouraging results of master-field simulations of the SU(3) gauge theory are reported.</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/>Corresponding record in: <a href="http://inspirehep.net/record/1613675">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"> Rekord stworzony 2017-08-02, ostatnia modyfikacja 2024-08-29</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=pl&p=recid%3A2276637&rm=wrd" class="moreinfo">Podobne rekordy</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">Pełny tekst:</small> <br /><em>1707.09758</em> - <a href="/record/2276637/files/1707.09758.pdf"><img style="border:none" src="/img/file-icon-text-12x16.gif" alt="Pobierz pełny tekst"/>PDF</a><br /><em>epjconf_lattice2018_01002</em> - <a href="/record/2276637/files/epjconf_lattice2018_01002.pdf"><img style="border:none" src="/img/file-icon-text-12x16.gif" alt="Pobierz pełny tekst"/>PDF</a><br /><em>arXiv:1707.09758</em> - <a href="/record/2276637/files/arXiv:1707.09758.pdf"><img style="border:none" src="/img/file-icon-text-12x16.gif" alt="Pobierz pełny tekst"/>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=pl&recid=2276637">Dodaj do koszyka osobistego</a></li> <li>Wyeksportuj jako <a style="text-decoration:underline;font-weight:normal" href="/record/2276637/export/hx?ln=pl">BibTeX</a>, <a style="text-decoration:underline;font-weight:normal" href="/record/2276637/export/hm?ln=pl">MARC</a>, <a style="text-decoration:underline;font-weight:normal" href="/record/2276637/export/xm?ln=pl">MARCXML</a>, <a style="text-decoration:underline;font-weight:normal" href="/record/2276637/export/xd?ln=pl">DC</a>, <a style="text-decoration:underline;font-weight:normal" href="/record/2276637/export/xe?ln=pl">EndNote</a>,  <a style="text-decoration:underline;font-weight:normal" href="/record/2276637/export/xn?ln=pl">NLM</a>, <a style="text-decoration:underline;font-weight:normal" href="/record/2276637/export/xw?ln=pl">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/1707.0975/add'); $('#bookmark_sciencewise').bookmark({sites: ['sciencewise']}); $('#bookmark').bookmark({ sites: ['facebook', 'twitter', 'linkedin', 'google_plusone'], icons: '/img/bookmarks.png', url: 'https://cds.cern.ch/record/2276637', addEmail: true, title: "Stochastic locality and master-field simulations of very large lattices", description: "In lattice QCD and other field theories with a mass gap, the field variables in distant regions of a physically large lattice are only weakly correlated. 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