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Stability of complex Langevin dynamics in effective models

Gert Aarts Orcid Logo, Frank A. James, Jan M. Pawlowski, Erhard Seiler, Dénes Sexty, Ion-Olimpiu Stamatescu

Journal of High Energy Physics, Volume: "1303", Issue: 3, Start page: 073

Swansea University Author: Gert Aarts Orcid Logo

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DOI (Published version): 10.1007/JHEP03(2013)073

Abstract

The sign problem at nonzero chemical potential prohibits the use of importance sampling in lattice simulations. Since complex Langevin dynamics does not rely on importance sampling, it provides a potential solution. Recently it was shown that complex Langevin dynamics fails in the disordered phase i...

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Published in: Journal of High Energy Physics
ISSN: 1029-8479
Published: 2012
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URI: https://cronfa.swan.ac.uk/Record/cronfa22581
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first_indexed 2015-07-21T11:25:45Z
last_indexed 2018-02-09T05:00:53Z
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spelling 2015-07-21T11:29:13.8298016 v2 22581 2015-07-21 Stability of complex Langevin dynamics in effective models 1ba0dad382dfe18348ec32fc65f3f3de 0000-0002-6038-3782 Gert Aarts Gert Aarts true false 2015-07-21 SPH The sign problem at nonzero chemical potential prohibits the use of importance sampling in lattice simulations. Since complex Langevin dynamics does not rely on importance sampling, it provides a potential solution. Recently it was shown that complex Langevin dynamics fails in the disordered phase in the case of the three-dimensional XY model, while it appears to work in the entire phase diagram in the case of the three-dimensional SU(3) spin model. Here we analyse this difference and argue that it is due to the presence of the nontrivial Haar measure in the SU(3) case, which has a stabilizing effect on the complexified dynamics. The freedom to modify and stabilize the complex Langevin process is discussed in some detail. Journal Article Journal of High Energy Physics "1303" 3 073 1029-8479 31 12 2012 2012-12-31 10.1007/JHEP03(2013)073 http://inspirehep.net/record/1208315 @articleAarts:2012ft, author = "Aarts, Gert and James, Frank A. and Pawlowski, Jan M. and Seiler, Erhard and Sexty, Denes and others", title = "Stability of complex Langevin dynamics in effective models", journal = "JHEP", volume = "1303", pages = "073", doi = "10.1007/JHEP03(2013)073", year = "2013", eprint = "1212.5231", archivePrefix = "arXiv", primaryClass = "hep-lat", SLACcitation = "%%CITATION = ARXIV:1212.5231;%%", COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2015-07-21T11:29:13.8298016 2015-07-21T10:14:45.0802942 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Gert Aarts 0000-0002-6038-3782 1 Frank A. James 2 Jan M. Pawlowski 3 Erhard Seiler 4 Dénes Sexty 5 Ion-Olimpiu Stamatescu 6
title Stability of complex Langevin dynamics in effective models
spellingShingle Stability of complex Langevin dynamics in effective models
Gert Aarts
title_short Stability of complex Langevin dynamics in effective models
title_full Stability of complex Langevin dynamics in effective models
title_fullStr Stability of complex Langevin dynamics in effective models
title_full_unstemmed Stability of complex Langevin dynamics in effective models
title_sort Stability of complex Langevin dynamics in effective models
author_id_str_mv 1ba0dad382dfe18348ec32fc65f3f3de
author_id_fullname_str_mv 1ba0dad382dfe18348ec32fc65f3f3de_***_Gert Aarts
author Gert Aarts
author2 Gert Aarts
Frank A. James
Jan M. Pawlowski
Erhard Seiler
Dénes Sexty
Ion-Olimpiu Stamatescu
format Journal article
container_title Journal of High Energy Physics
container_volume "1303"
container_issue 3
container_start_page 073
publishDate 2012
institution Swansea University
issn 1029-8479
doi_str_mv 10.1007/JHEP03(2013)073
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/1208315
document_store_str 0
active_str 0
description The sign problem at nonzero chemical potential prohibits the use of importance sampling in lattice simulations. Since complex Langevin dynamics does not rely on importance sampling, it provides a potential solution. Recently it was shown that complex Langevin dynamics fails in the disordered phase in the case of the three-dimensional XY model, while it appears to work in the entire phase diagram in the case of the three-dimensional SU(3) spin model. Here we analyse this difference and argue that it is due to the presence of the nontrivial Haar measure in the SU(3) case, which has a stabilizing effect on the complexified dynamics. The freedom to modify and stabilize the complex Langevin process is discussed in some detail.
published_date 2012-12-31T03:26:43Z
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score 11.037056

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