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On complex Langevin dynamics and zeroes of the measure II: Fermionic determinant

Gert Aarts Orcid Logo

Proceedings of Science (Lattice 2016), Issue: 092

Swansea University Author: Gert Aarts Orcid Logo

Abstract

Lattice QCD at non-vanishing chemical potential is studied using the complex Langevin equation (CLE). One of the conditions for the correctness of the results of the CLE is that the zeroes of the measure coming from the fermionic determinant are outside of the distribution of the configurations, or...

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Published in: Proceedings of Science (Lattice 2016)
Published: University of Southampton 34th annual International Symposium on Lattice Field Theory 2016
Online Access: https://pos.sissa.it/cgi-bin/reader/conf.cgi?confid=256
URI: https://cronfa.swan.ac.uk/Record/cronfa31613
first_indexed 2017-01-10T20:56:28Z
last_indexed 2018-02-09T05:18:43Z
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spelling 2017-07-27T17:17:15.9330614 v2 31613 2017-01-10 On complex Langevin dynamics and zeroes of the measure II: Fermionic determinant 1ba0dad382dfe18348ec32fc65f3f3de 0000-0002-6038-3782 Gert Aarts Gert Aarts true false 2017-01-10 BGPS Lattice QCD at non-vanishing chemical potential is studied using the complex Langevin equation (CLE). One of the conditions for the correctness of the results of the CLE is that the zeroes of the measure coming from the fermionic determinant are outside of the distribution of the configurations, or at least in a region where support for the distribution is very much suppressed. We investigate this issue for Heavy Dense QCD (HDQCD) and full QCD at high temperatures. In HDQCD it is found that the configurations move closest to the zeroes of the measure around the critical chemical potential of the onset transition, where the sign problem is diminished, but results remain largely unaffected. In full QCD at high temperatures the investigation of the spectrum of the Dirac operator yields a similar observation: the results are unaffected by the issue of the poles. Conference Paper/Proceeding/Abstract Proceedings of Science (Lattice 2016) 092 34th annual International Symposium on Lattice Field Theory University of Southampton 9 11 2016 2016-11-09 https://pos.sissa.it/cgi-bin/reader/conf.cgi?confid=256 COLLEGE NANME Biosciences Geography and Physics School COLLEGE CODE BGPS Swansea University 2017-07-27T17:17:15.9330614 2017-01-10T16:27:09.2808404 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Gert Aarts 0000-0002-6038-3782 1 0031613-28042017140112.pdf 1611.02931.pdf 2017-01-10T16:27:21.4170000 Output 7791940 application/pdf Author's Original true 2017-01-10T00:00:00.0000000 true
title On complex Langevin dynamics and zeroes of the measure II: Fermionic determinant
spellingShingle On complex Langevin dynamics and zeroes of the measure II: Fermionic determinant
Gert Aarts
title_short On complex Langevin dynamics and zeroes of the measure II: Fermionic determinant
title_full On complex Langevin dynamics and zeroes of the measure II: Fermionic determinant
title_fullStr On complex Langevin dynamics and zeroes of the measure II: Fermionic determinant
title_full_unstemmed On complex Langevin dynamics and zeroes of the measure II: Fermionic determinant
title_sort On complex Langevin dynamics and zeroes of the measure II: Fermionic determinant
author_id_str_mv 1ba0dad382dfe18348ec32fc65f3f3de
author_id_fullname_str_mv 1ba0dad382dfe18348ec32fc65f3f3de_***_Gert Aarts
author Gert Aarts
author2 Gert Aarts
format Conference Paper/Proceeding/Abstract
container_title Proceedings of Science (Lattice 2016)
container_issue 092
publishDate 2016
institution Swansea University
publisher 34th annual International Symposium on Lattice Field Theory
college_str Faculty of Science and Engineering
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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 https://pos.sissa.it/cgi-bin/reader/conf.cgi?confid=256
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description Lattice QCD at non-vanishing chemical potential is studied using the complex Langevin equation (CLE). One of the conditions for the correctness of the results of the CLE is that the zeroes of the measure coming from the fermionic determinant are outside of the distribution of the configurations, or at least in a region where support for the distribution is very much suppressed. We investigate this issue for Heavy Dense QCD (HDQCD) and full QCD at high temperatures. In HDQCD it is found that the configurations move closest to the zeroes of the measure around the critical chemical potential of the onset transition, where the sign problem is diminished, but results remain largely unaffected. In full QCD at high temperatures the investigation of the spectrum of the Dirac operator yields a similar observation: the results are unaffected by the issue of the poles.
published_date 2016-11-09T07:04:18Z
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