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Complex Langevin dynamics in the SU(3) spin model at nonzero chemical potential revisited

Gert Aarts Orcid Logo, Frank A. James

Journal of High Energy Physics, Volume: "1201", Issue: 1, Start page: 118

Swansea University Author: Gert Aarts Orcid Logo

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DOI (Published version): 10.1007/JHEP01(2012)118

Abstract

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, usin...

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Published in: Journal of High Energy Physics
ISSN: 1029-8479
Published: 2011
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URI: https://cronfa.swan.ac.uk/Record/cronfa22585
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spelling 2015-07-21T11:29:13.8298016 v2 22585 2015-07-21 Complex Langevin dynamics in the SU(3) spin model at nonzero chemical potential revisited 1ba0dad382dfe18348ec32fc65f3f3de 0000-0002-6038-3782 Gert Aarts Gert Aarts true false 2015-07-21 SPH 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 mu^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. Journal Article Journal of High Energy Physics "1201" 1 118 1029-8479 31 12 2011 2011-12-31 10.1007/JHEP01(2012)118 http://inspirehep.net/record/1082342 @articleAarts:2011zn, author = "Aarts, Gert and James, Frank A.", title = "Complex Langevin dynamics in the SU(3) spin model at nonzero chemical potential revisited", journal = "JHEP", volume = "1201", pages = "118", doi = "10.1007/JHEP01(2012)118", year = "2012", eprint = "1112.4655", archivePrefix = "arXiv", primaryClass = "hep-lat", SLACcitation = "%%CITATION = ARXIV:1112.4655;%%", COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2015-07-21T11:29:13.8298016 2015-07-21T10:14:48.2471145 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Gert Aarts 0000-0002-6038-3782 1 Frank A. James 2
title Complex Langevin dynamics in the SU(3) spin model at nonzero chemical potential revisited
spellingShingle Complex Langevin dynamics in the SU(3) spin model at nonzero chemical potential revisited
Gert Aarts
title_short Complex Langevin dynamics in the SU(3) spin model at nonzero chemical potential revisited
title_full Complex Langevin dynamics in the SU(3) spin model at nonzero chemical potential revisited
title_fullStr Complex Langevin dynamics in the SU(3) spin model at nonzero chemical potential revisited
title_full_unstemmed Complex Langevin dynamics in the SU(3) spin model at nonzero chemical potential revisited
title_sort Complex Langevin dynamics in the SU(3) spin model at nonzero chemical potential revisited
author_id_str_mv 1ba0dad382dfe18348ec32fc65f3f3de
author_id_fullname_str_mv 1ba0dad382dfe18348ec32fc65f3f3de_***_Gert Aarts
author Gert Aarts
author2 Gert Aarts
Frank A. James
format Journal article
container_title Journal of High Energy Physics
container_volume "1201"
container_issue 1
container_start_page 118
publishDate 2011
institution Swansea University
issn 1029-8479
doi_str_mv 10.1007/JHEP01(2012)118
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Biosciences, Geography and Physics - Physics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Biosciences, Geography and Physics - Physics
url http://inspirehep.net/record/1082342
document_store_str 0
active_str 0
description 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 mu^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.
published_date 2011-12-31T03:26:43Z
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score 11.013619

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