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Localised distributions and criteria for correctness in complex Langevin dynamics

Gert Aarts Orcid Logo, Pietro Giudice, Erhard Seiler

Annals of Physics, Volume: "337", Pages: 238 - 260

Swansea University Author: Gert Aarts Orcid Logo

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DOI (Published version): 10.1016/j.aop.2013.06.019

Abstract

Complex Langevin dynamics can solve the sign problem appearing in numerical simulations of theories with a complex action. In order to justify the procedure, it is important to understand the properties of the real and positive distribution, which is effectively sampled during the stochastic process...

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Published in: Annals of Physics
ISSN: 00034916
Published: 2013
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URI: https://cronfa.swan.ac.uk/Record/cronfa22578
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first_indexed 2015-07-21T11:25:45Z
last_indexed 2018-02-09T05:00:52Z
id cronfa22578
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spelling 2015-07-21T11:29:13.8298016 v2 22578 2015-07-21 Localised distributions and criteria for correctness in complex Langevin dynamics 1ba0dad382dfe18348ec32fc65f3f3de 0000-0002-6038-3782 Gert Aarts Gert Aarts true false 2015-07-21 SPH Complex Langevin dynamics can solve the sign problem appearing in numerical simulations of theories with a complex action. In order to justify the procedure, it is important to understand the properties of the real and positive distribution, which is effectively sampled during the stochastic process. In the context of a simple model, we study this distribution by solving the Fokker-Planck equation as well as by brute force and relate the results to the recently derived criteria for correctness. We demonstrate analytically that it is possible that the distribution has support in a strip in the complexified configuration space only, in which case correct results are expected. Journal Article Annals of Physics "337" 238 260 00034916 30 6 2013 2013-06-30 10.1016/j.aop.2013.06.019 http://inspirehep.net/record/1238426 @articleAarts:2013uza, author = "Aarts, Gert and Giudice, Pietro and Seiler, Erhard", title = "Localised distributions and criteria for correctness in complex Langevin dynamics", journal = "Annals Phys.", volume = "337", pages = "238-260", doi = "10.1016/j.aop.2013.06.019", year = "2013", eprint = "1306.3075", archivePrefix = "arXiv", primaryClass = "hep-lat", SLACcitation = "%%CITATION = ARXIV:1306.3075;%%", COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2015-07-21T11:29:13.8298016 2015-07-21T10:14:43.1302817 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Gert Aarts 0000-0002-6038-3782 1 Pietro Giudice 2 Erhard Seiler 3
title Localised distributions and criteria for correctness in complex Langevin dynamics
spellingShingle Localised distributions and criteria for correctness in complex Langevin dynamics
Gert Aarts
title_short Localised distributions and criteria for correctness in complex Langevin dynamics
title_full Localised distributions and criteria for correctness in complex Langevin dynamics
title_fullStr Localised distributions and criteria for correctness in complex Langevin dynamics
title_full_unstemmed Localised distributions and criteria for correctness in complex Langevin dynamics
title_sort Localised distributions and criteria for correctness in complex Langevin dynamics
author_id_str_mv 1ba0dad382dfe18348ec32fc65f3f3de
author_id_fullname_str_mv 1ba0dad382dfe18348ec32fc65f3f3de_***_Gert Aarts
author Gert Aarts
author2 Gert Aarts
Pietro Giudice
Erhard Seiler
format Journal article
container_title Annals of Physics
container_volume "337"
container_start_page 238
publishDate 2013
institution Swansea University
issn 00034916
doi_str_mv 10.1016/j.aop.2013.06.019
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/1238426
document_store_str 0
active_str 0
description Complex Langevin dynamics can solve the sign problem appearing in numerical simulations of theories with a complex action. In order to justify the procedure, it is important to understand the properties of the real and positive distribution, which is effectively sampled during the stochastic process. In the context of a simple model, we study this distribution by solving the Fokker-Planck equation as well as by brute force and relate the results to the recently derived criteria for correctness. We demonstrate analytically that it is possible that the distribution has support in a strip in the complexified configuration space only, in which case correct results are expected.
published_date 2013-06-30T03:26:43Z
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score 11.013619

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