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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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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." property="og:description" />  <meta content="summary" name="twitter:card" /> <meta content="summary" name="twitter:card" /> <style></style> </head> <body class="CERN32Document32Server search" lang="zh">  <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=zh_TW&referer=https%3A//cds.cern.ch/record/2276637%3Fln%3Dzh_TW" 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=zh_TW">搜尋</a></li> <li class="menu-444 "><a class="" title="" href="https://cds.cern.ch/submit?ln=zh_TW">提交</a></li> <li class="menu-426 "><a class="" href="https://cds.cern.ch/help/?ln=zh_TW">幫助</a></li> <li class="leaf hassubcdsmenu"> <a hreflang="en" class="header" href="https://cds.cern.ch/youraccount/display?ln=zh_TW">個人化</a> <ul class="subsubcdsmenu"><li><a href="https://cds.cern.ch/youralerts/list?ln=zh_TW">Your alerts</a></li><li><a href="https://cds.cern.ch/yourbaskets/display?ln=zh_TW">Your baskets</a></li><li><a href="https://cds.cern.ch/yourcomments?ln=zh_TW">Your comments</a></li><li><a href="https://cds.cern.ch/youralerts/display?ln=zh_TW">Your searches</a></li></ul></li> </ul> </div> </div> </div>  <table class="navtrailbox"> <tr> <td class="navtrailboxbody"> <a href="/?ln=zh_TW" class="navtrail">主頁</a> > Stochastic locality and master-field simulations of very large lattices </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/2276637/?ln=zh_TW">Information </a></li><li class=""><a href="/record/2276637/files?ln=zh_TW">Files </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="2276637"></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: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=zh_TW">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"> 記錄創建於2017-08-02，最後更新在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=zh_TW&p=recid%3A2276637&rm=wrd" class="moreinfo">相似記錄</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">全文:</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="Download fulltext"/>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="Download fulltext"/>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="Download fulltext"/>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=zh_TW&recid=2276637">Add to personal basket</a></li> <li>Export as <a style="text-decoration:underline;font-weight:normal" href="/record/2276637/export/hx?ln=zh_TW">BibTeX</a>, <a style="text-decoration:underline;font-weight:normal" href="/record/2276637/export/hm?ln=zh_TW">MARC</a>, <a style="text-decoration:underline;font-weight:normal" href="/record/2276637/export/xm?ln=zh_TW">MARCXML</a>, <a style="text-decoration:underline;font-weight:normal" href="/record/2276637/export/xd?ln=zh_TW">DC</a>, <a style="text-decoration:underline;font-weight:normal" href="/record/2276637/export/xe?ln=zh_TW">EndNote</a>,  <a style="text-decoration:underline;font-weight:normal" href="/record/2276637/export/xn?ln=zh_TW">NLM</a>, <a style="text-decoration:underline;font-weight:normal" href="/record/2276637/export/xw?ln=zh_TW">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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