No Cover Image

Journal article 879 views

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

Full text not available from this repository: check for access using links below.

Check full text

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...

Full description

Published in: Journal of High Energy Physics
ISSN: 1029-8479
Published: 2012
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa22581
Tags: Add Tag
No Tags, Be the first to tag this record!
first_indexed 2015-07-21T11:25:45Z
last_indexed 2018-02-09T05:00:53Z
id cronfa22581
recordtype SURis
fullrecord <?xml version="1.0"?><rfc1807><datestamp>2015-07-21T11:29:13.8298016</datestamp><bib-version>v2</bib-version><id>22581</id><entry>2015-07-21</entry><title>Stability of complex Langevin dynamics in effective models</title><swanseaauthors><author><sid>1ba0dad382dfe18348ec32fc65f3f3de</sid><ORCID>0000-0002-6038-3782</ORCID><firstname>Gert</firstname><surname>Aarts</surname><name>Gert Aarts</name><active>true</active><ethesisStudent>false</ethesisStudent></author></swanseaauthors><date>2015-07-21</date><deptcode>SPH</deptcode><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 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.</abstract><type>Journal Article</type><journal>Journal of High Energy Physics</journal><volume>"1303"</volume><journalNumber>3</journalNumber><paginationStart>073</paginationStart><publisher/><issnElectronic>1029-8479</issnElectronic><keywords/><publishedDay>31</publishedDay><publishedMonth>12</publishedMonth><publishedYear>2012</publishedYear><publishedDate>2012-12-31</publishedDate><doi>10.1007/JHEP03(2013)073</doi><url>http://inspirehep.net/record/1208315</url><notes>@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;%%",</notes><college>COLLEGE NANME</college><department>Physics</department><CollegeCode>COLLEGE CODE</CollegeCode><DepartmentCode>SPH</DepartmentCode><institution>Swansea University</institution><apcterm/><lastEdited>2015-07-21T11:29:13.8298016</lastEdited><Created>2015-07-21T10:14:45.0802942</Created><path><level id="1">Faculty of Science and Engineering</level><level id="2">School of Biosciences, Geography and Physics - Physics</level></path><authors><author><firstname>Gert</firstname><surname>Aarts</surname><orcid>0000-0002-6038-3782</orcid><order>1</order></author><author><firstname>Frank A.</firstname><surname>James</surname><order>2</order></author><author><firstname>Jan M.</firstname><surname>Pawlowski</surname><order>3</order></author><author><firstname>Erhard</firstname><surname>Seiler</surname><order>4</order></author><author><firstname>D&#xE9;nes</firstname><surname>Sexty</surname><order>5</order></author><author><firstname>Ion-Olimpiu</firstname><surname>Stamatescu</surname><order>6</order></author></authors><documents/><OutputDurs/></rfc1807>
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
_version_ 1763750972964732928
score 11.014067

Similar Items