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Conference Paper/Proceeding/Abstract 988 views

Localised distributions in complex Langevin dynamics

Giudice, Pietro, Aarts, Gert, Seiler, Erhard, Gert Aarts Orcid Logo

Volume: "LATTICE2013", Start page: 200

Swansea University Author: Gert Aarts Orcid Logo

Abstract

Complex Langevin dynamics can be used to perform 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...

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Published: 2013
Online Access: http://inspirehep.net/record/1253854
URI: https://cronfa.swan.ac.uk/Record/cronfa22574
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first_indexed 2015-07-21T11:25:44Z
last_indexed 2018-02-09T05:00:52Z
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spelling 2015-07-21T11:29:13.8298016 v2 22574 2015-07-21 Localised distributions in complex Langevin dynamics 1ba0dad382dfe18348ec32fc65f3f3de 0000-0002-6038-3782 Gert Aarts Gert Aarts true false 2015-07-21 SPH Complex Langevin dynamics can be used to perform 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 and relate the results to the recently derived criteria for correctness. We demonstrate analytically that if the distribution has support only on a strip in the complexified configuration space, correct results are expected. Conference Paper/Proceeding/Abstract "LATTICE2013" 200 30 9 2013 2013-09-30 http://inspirehep.net/record/1253854 @articleGiudice:2013eva, author = "Giudice, Pietro and Aarts, Gert and Seiler, Erhard", title = "Localised distributions in complex Langevin dynamics", journal = "PoS", volume = "LATTICE2013", pages = "200", year = "2014", eprint = "1309.3191", archivePrefix = "arXiv", primaryClass = "hep-lat", SLACcitation = "%%CITATION = ARXIV:1309.3191;%%", COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2015-07-21T11:29:13.8298016 2015-07-21T10:14:40.7590665 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Giudice, Pietro 1 Aarts, Gert 2 Seiler, Erhard 3 Gert Aarts 0000-0002-6038-3782 4
title Localised distributions in complex Langevin dynamics
spellingShingle Localised distributions in complex Langevin dynamics
Gert Aarts
title_short Localised distributions in complex Langevin dynamics
title_full Localised distributions in complex Langevin dynamics
title_fullStr Localised distributions in complex Langevin dynamics
title_full_unstemmed Localised distributions in complex Langevin dynamics
title_sort Localised distributions in complex Langevin dynamics
author_id_str_mv 1ba0dad382dfe18348ec32fc65f3f3de
author_id_fullname_str_mv 1ba0dad382dfe18348ec32fc65f3f3de_***_Gert Aarts
author Gert Aarts
author2 Giudice, Pietro
Aarts, Gert
Seiler, Erhard
Gert Aarts
format Conference Paper/Proceeding/Abstract
container_volume "LATTICE2013"
container_start_page 200
publishDate 2013
institution Swansea University
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/1253854
document_store_str 0
active_str 0
description Complex Langevin dynamics can be used to perform 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 and relate the results to the recently derived criteria for correctness. We demonstrate analytically that if the distribution has support only on a strip in the complexified configuration space, correct results are expected.
published_date 2013-09-30T03:26:42Z
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score 11.035634

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