Complex Langevin dynamics in the SU(3) spin model at nonzero chemical potential revisited
A bstract The three-dimensional SU(3) spin model is an effective Polyakov loop model for QCD at nonzero temperature and density. It suffers from a sign problem at nonzero chemical potential. We revisit this model using complex Langevin dynamics and assess in particular the justification of this appr...
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| Veröffentlicht in: | The journal of high energy physics 2012-01, Vol.2012 (1), Article 118 |
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| creator | Aarts, Gert James, Frank A. |
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bstract
The three-dimensional SU(3) spin model is an effective Polyakov loop model for QCD at nonzero temperature and density. It suffers from a sign problem at nonzero chemical potential. We revisit this model using complex Langevin dynamics and assess in particular the justification of this approach, using analyticity at small
μ
2
and the criteria for correctness developed recently. Finite-stepsize effects are discussed in some detail and a higher-order algorithm is employed to eliminate leading stepsize corrections. Our results strongly indicate that complex Langevin dynamics is reliable in this theory in both phases, including the critical region. This is in sharp contrast to the case of the XY model, where correct results were obtained in only part of the phase diagram. |
| doi_str_mv | 10.1007/JHEP01(2012)118 |
| format | Article |
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bstract
The three-dimensional SU(3) spin model is an effective Polyakov loop model for QCD at nonzero temperature and density. It suffers from a sign problem at nonzero chemical potential. We revisit this model using complex Langevin dynamics and assess in particular the justification of this approach, using analyticity at small
μ
2
and the criteria for correctness developed recently. Finite-stepsize effects are discussed in some detail and a higher-order algorithm is employed to eliminate leading stepsize corrections. Our results strongly indicate that complex Langevin dynamics is reliable in this theory in both phases, including the critical region. This is in sharp contrast to the case of the XY model, where correct results were obtained in only part of the phase diagram.</description><identifier>ISSN: 1029-8479</identifier><identifier>EISSN: 1029-8479</identifier><identifier>DOI: 10.1007/JHEP01(2012)118</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer-Verlag</publisher><subject>Algorithms ; Chemical potential ; Classical and Quantum Gravitation ; Elementary Particles ; High energy physics ; Phase diagrams ; Physics ; Physics and Astronomy ; Quantum Field Theories ; Quantum Field Theory ; Quantum Physics ; Relativity Theory ; Spin dynamics ; String Theory ; Three dimensional models</subject><ispartof>The journal of high energy physics, 2012-01, Vol.2012 (1), Article 118</ispartof><rights>SISSA, Trieste, Italy 2012</rights><rights>SISSA, Trieste, Italy 2012.</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c376t-38f831bedba27321c2a4581b2addb1a2fddb45460d66ae5caeafef4aacc987c73</citedby><cites>FETCH-LOGICAL-c376t-38f831bedba27321c2a4581b2addb1a2fddb45460d66ae5caeafef4aacc987c73</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/JHEP01(2012)118$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/JHEP01(2012)118$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,27924,27925,41120,41488,42189,42557,51319,51576</link.rule.ids><linktorsrc>$$Uhttps://doi.org/10.1007/JHEP01(2012)118$$EView_record_in_Springer_Nature$$FView_record_in_$$GSpringer_Nature</linktorsrc></links><search><creatorcontrib>Aarts, Gert</creatorcontrib><creatorcontrib>James, Frank A.</creatorcontrib><title>Complex Langevin dynamics in the SU(3) spin model at nonzero chemical potential revisited</title><title>The journal of high energy physics</title><addtitle>J. High Energ. Phys</addtitle><description>A
bstract
The three-dimensional SU(3) spin model is an effective Polyakov loop model for QCD at nonzero temperature and density. It suffers from a sign problem at nonzero chemical potential. We revisit this model using complex Langevin dynamics and assess in particular the justification of this approach, using analyticity at small
μ
2
and the criteria for correctness developed recently. Finite-stepsize effects are discussed in some detail and a higher-order algorithm is employed to eliminate leading stepsize corrections. Our results strongly indicate that complex Langevin dynamics is reliable in this theory in both phases, including the critical region. This is in sharp contrast to the case of the XY model, where correct results were obtained in only part of the phase diagram.</description><subject>Algorithms</subject><subject>Chemical potential</subject><subject>Classical and Quantum Gravitation</subject><subject>Elementary Particles</subject><subject>High energy physics</subject><subject>Phase diagrams</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Quantum Field Theories</subject><subject>Quantum Field Theory</subject><subject>Quantum Physics</subject><subject>Relativity Theory</subject><subject>Spin dynamics</subject><subject>String Theory</subject><subject>Three dimensional models</subject><issn>1029-8479</issn><issn>1029-8479</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2012</creationdate><recordtype>article</recordtype><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><recordid>eNp1kM1LAzEUxIMoWKtnrwEv7WFtXrKfRynVKgUF7cFTeJvN2i27mzXZivWvN2UFvXiaeTAzD36EXAK7BsaS2cNy8cRgwhnwKUB6REbAeBakYZId__Gn5My5LWMQQcZG5HVumq7Wn3SF7Zv-qFpa7FtsKuWo9_1G0-f1REyp6_zZmELXFHvamvZLW0PVRvso1rQzvW77yjvrR1zV6-KcnJRYO33xo2Oyvl28zJfB6vHufn6zCpRI4j4QaZkKyHWRI08EB8UxjFLIORZFDshLL2EUxqyIY9SRQo2lLkNEpbI0UYkYk6tht7PmfaddL7dmZ1v_UnKRpVxAEkY-NRtSyhrnrC5lZ6sG7V4Ckwd-cuAnD_yk5-cbbGg4n_Rs7O_uf5Vvj71zQg</recordid><startdate>20120101</startdate><enddate>20120101</enddate><creator>Aarts, Gert</creator><creator>James, Frank A.</creator><general>Springer-Verlag</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>8FE</scope><scope>8FG</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>P5Z</scope><scope>P62</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope></search><sort><creationdate>20120101</creationdate><title>Complex Langevin dynamics in the SU(3) spin model at nonzero chemical potential revisited</title><author>Aarts, Gert ; James, Frank A.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c376t-38f831bedba27321c2a4581b2addb1a2fddb45460d66ae5caeafef4aacc987c73</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2012</creationdate><topic>Algorithms</topic><topic>Chemical potential</topic><topic>Classical and Quantum Gravitation</topic><topic>Elementary Particles</topic><topic>High energy physics</topic><topic>Phase diagrams</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Quantum Field Theories</topic><topic>Quantum Field Theory</topic><topic>Quantum Physics</topic><topic>Relativity Theory</topic><topic>Spin dynamics</topic><topic>String Theory</topic><topic>Three dimensional models</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Aarts, Gert</creatorcontrib><creatorcontrib>James, Frank A.</creatorcontrib><collection>CrossRef</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>Advanced Technologies & Aerospace Collection</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection (ProQuest)</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>SciTech Premium Collection</collection><collection>Advanced Technologies & Aerospace Database</collection><collection>ProQuest Advanced Technologies & Aerospace Collection</collection><collection>Publicly Available Content Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><jtitle>The journal of high energy physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Aarts, Gert</au><au>James, Frank A.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Complex Langevin dynamics in the SU(3) spin model at nonzero chemical potential revisited</atitle><jtitle>The journal of high energy physics</jtitle><stitle>J. High Energ. Phys</stitle><date>2012-01-01</date><risdate>2012</risdate><volume>2012</volume><issue>1</issue><artnum>118</artnum><issn>1029-8479</issn><eissn>1029-8479</eissn><abstract>A
bstract
The three-dimensional SU(3) spin model is an effective Polyakov loop model for QCD at nonzero temperature and density. It suffers from a sign problem at nonzero chemical potential. We revisit this model using complex Langevin dynamics and assess in particular the justification of this approach, using analyticity at small
μ
2
and the criteria for correctness developed recently. Finite-stepsize effects are discussed in some detail and a higher-order algorithm is employed to eliminate leading stepsize corrections. Our results strongly indicate that complex Langevin dynamics is reliable in this theory in both phases, including the critical region. This is in sharp contrast to the case of the XY model, where correct results were obtained in only part of the phase diagram.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer-Verlag</pub><doi>10.1007/JHEP01(2012)118</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Algorithms Chemical potential Classical and Quantum Gravitation Elementary Particles High energy physics Phase diagrams Physics Physics and Astronomy Quantum Field Theories Quantum Field Theory Quantum Physics Relativity Theory Spin dynamics String Theory Three dimensional models |
| title | Complex Langevin dynamics in the SU(3) spin model at nonzero chemical potential revisited |
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