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Controlling complex Langevin dynamics at finite density

Gert Aarts Orcid Logo, Lorenzo Bongiovanni, Erhard Seiler, Dénes Sexty, Ion-Olimpiu Stamatescu

The European Physical Journal A, Volume: "A49", Issue: 7, Start page: 89

Swansea University Author: Gert Aarts Orcid Logo

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DOI (Published version): 10.1140/epja/i2013-13089-4

Abstract

At nonzero chemical potential the numerical sign problem in lattice field theory limits the use of standard algorithms based on importance sampling. Complex Langevin dynamics provides a possible solution, but it has to be applied with care. In this review, we first summarise our current understandin...

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Published in: The European Physical Journal A
ISSN: 1434-6001 1434-601X
Published: 2013
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URI: https://cronfa.swan.ac.uk/Record/cronfa22580
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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 22580 2015-07-21 Controlling complex Langevin dynamics at finite density 1ba0dad382dfe18348ec32fc65f3f3de 0000-0002-6038-3782 Gert Aarts Gert Aarts true false 2015-07-21 SPH At nonzero chemical potential the numerical sign problem in lattice field theory limits the use of standard algorithms based on importance sampling. Complex Langevin dynamics provides a possible solution, but it has to be applied with care. In this review, we first summarise our current understanding of the approach, combining analytical and numerical insight. In the second part we study SL(N,C) gauge cooling, which was introduced recently as a tool to control complex Langevin dynamics in nonabelian gauge theories. We present new results in Polyakov chain models and in QCD with heavy quarks and compare various adaptive cooling implementations. Journal Article The European Physical Journal A "A49" 7 89 1434-6001 1434-601X 31 12 2013 2013-12-31 10.1140/epja/i2013-13089-4 http://inspirehep.net/record/1225530 @articleAarts:2013uxa, author = "Aarts, Gert and Bongiovanni, Lorenzo and Seiler, Erhard and Sexty, Denes and Stamatescu, Ion-Olimpiu", title = "Controlling complex Langevin dynamics at finite density", journal = "Eur.Phys.J.", volume = "A49", pages = "89", doi = "10.1140/epja/i2013-13089-4", year = "2013", eprint = "1303.6425", archivePrefix = "arXiv", primaryClass = "hep-lat", SLACcitation = "%%CITATION = ARXIV:1303.6425;%%", COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2015-07-21T11:29:13.8298016 2015-07-21T10:14:44.4094899 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Gert Aarts 0000-0002-6038-3782 1 Lorenzo Bongiovanni 2 Erhard Seiler 3 Dénes Sexty 4 Ion-Olimpiu Stamatescu 5
title Controlling complex Langevin dynamics at finite density
spellingShingle Controlling complex Langevin dynamics at finite density
Gert Aarts
title_short Controlling complex Langevin dynamics at finite density
title_full Controlling complex Langevin dynamics at finite density
title_fullStr Controlling complex Langevin dynamics at finite density
title_full_unstemmed Controlling complex Langevin dynamics at finite density
title_sort Controlling complex Langevin dynamics at finite density
author_id_str_mv 1ba0dad382dfe18348ec32fc65f3f3de
author_id_fullname_str_mv 1ba0dad382dfe18348ec32fc65f3f3de_***_Gert Aarts
author Gert Aarts
author2 Gert Aarts
Lorenzo Bongiovanni
Erhard Seiler
Dénes Sexty
Ion-Olimpiu Stamatescu
format Journal article
container_title The European Physical Journal A
container_volume "A49"
container_issue 7
container_start_page 89
publishDate 2013
institution Swansea University
issn 1434-6001
1434-601X
doi_str_mv 10.1140/epja/i2013-13089-4
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/1225530
document_store_str 0
active_str 0
description At nonzero chemical potential the numerical sign problem in lattice field theory limits the use of standard algorithms based on importance sampling. Complex Langevin dynamics provides a possible solution, but it has to be applied with care. In this review, we first summarise our current understanding of the approach, combining analytical and numerical insight. In the second part we study SL(N,C) gauge cooling, which was introduced recently as a tool to control complex Langevin dynamics in nonabelian gauge theories. We present new results in Polyakov chain models and in QCD with heavy quarks and compare various adaptive cooling implementations.
published_date 2013-12-31T03:26:43Z
_version_ 1763750972841000960
score 11.013371

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