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Hopping parameter expansion to all orders using the complex Langevin equation

Aarts, G., Seiler, E., Sexty, D., , Gert Aarts Orcid Logo

Swansea University Author: Gert Aarts Orcid Logo

Abstract

We propose two novel formulations of the hopping parameter expansion for finite density QCD using Wilson fermions, while keeping the gauge action intact. We use the complex Langevin equation to circumvent the sign problem in the theory. We perform simulations at very high order of the expansion, suc...

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Published: 2015
Online Access: http://inspirehep.net/record/1357006
URI: https://cronfa.swan.ac.uk/Record/cronfa22556
first_indexed 2015-07-21T11:25:42Z
last_indexed 2018-02-09T05:00:49Z
id cronfa22556
recordtype SURis
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spelling 2015-07-21T11:29:13.8298016 v2 22556 2015-07-21 Hopping parameter expansion to all orders using the complex Langevin equation 1ba0dad382dfe18348ec32fc65f3f3de 0000-0002-6038-3782 Gert Aarts Gert Aarts true false 2015-07-21 BGPS We propose two novel formulations of the hopping parameter expansion for finite density QCD using Wilson fermions, while keeping the gauge action intact. We use the complex Langevin equation to circumvent the sign problem in the theory. We perform simulations at very high order of the expansion, such that convergence is directly observable. We compare results to the full QCD results, and see agreement at sufficiently high orders. These results provide support for the use of complex Langevin dynamics to study QCD at nonzero density, both in the full and the expanded theory, and for the convergence of the Conference Paper/Proceeding/Abstract 31 3 2015 2015-03-31 http://inspirehep.net/record/1357006 @articleAarts:2015oka, author = "Aarts, G. and Seiler, E. and Sexty, D. and Stamatescu, I. -O.", title = "Hopping parameter expansion to all orders using the complex Langevin equation", year = "2015", eprint = "1503.08813", archivePrefix = "arXiv", primaryClass = "hep-lat", SLACcitation = "%%CITATION = ARXIV:1503.08813;%%", COLLEGE NANME Biosciences Geography and Physics School COLLEGE CODE BGPS Swansea University 2015-07-21T11:29:13.8298016 2015-07-21T10:14:31.6954084 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Aarts, G. 1 Seiler, E. 2 Sexty, D. 3 4 Gert Aarts 0000-0002-6038-3782 5
title Hopping parameter expansion to all orders using the complex Langevin equation
spellingShingle Hopping parameter expansion to all orders using the complex Langevin equation
Gert Aarts
title_short Hopping parameter expansion to all orders using the complex Langevin equation
title_full Hopping parameter expansion to all orders using the complex Langevin equation
title_fullStr Hopping parameter expansion to all orders using the complex Langevin equation
title_full_unstemmed Hopping parameter expansion to all orders using the complex Langevin equation
title_sort Hopping parameter expansion to all orders using the complex Langevin equation
author_id_str_mv 1ba0dad382dfe18348ec32fc65f3f3de
author_id_fullname_str_mv 1ba0dad382dfe18348ec32fc65f3f3de_***_Gert Aarts
author Gert Aarts
author2 Aarts, G.
Seiler, E.
Sexty, D.

Gert Aarts
format Conference Paper/Proceeding/Abstract
publishDate 2015
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/1357006
document_store_str 0
active_str 0
description We propose two novel formulations of the hopping parameter expansion for finite density QCD using Wilson fermions, while keeping the gauge action intact. We use the complex Langevin equation to circumvent the sign problem in the theory. We perform simulations at very high order of the expansion, such that convergence is directly observable. We compare results to the full QCD results, and see agreement at sufficiently high orders. These results provide support for the use of complex Langevin dynamics to study QCD at nonzero density, both in the full and the expanded theory, and for the convergence of the
published_date 2015-03-31T18:46:26Z
_version_ 1822157057997930496
score 11.048453

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