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On complex Langevin dynamics and zeroes of the measure I: Formal proof and simple models

Gert Aarts Orcid Logo

Proceedings of Science (Lattice 2016), Issue: 036

Swansea University Author: Gert Aarts Orcid Logo

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Abstract

In the complex Langevin approach to lattice simulations at nonzero density, zeroes of the fermion determinant lead to a meromorphic drift and hence a need to revisit the theoretical derivation. We discuss how poles in the drift affect the formal justification of the approach and then explore the var...

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Published in: Proceedings of Science (Lattice 2016)
Published: LATTICE2016 2016
URI: https://cronfa.swan.ac.uk/Record/cronfa31612
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spelling 2017-05-16T13:45:46.4191198 v2 31612 2017-01-10 On complex Langevin dynamics and zeroes of the measure I: Formal proof and simple models 1ba0dad382dfe18348ec32fc65f3f3de 0000-0002-6038-3782 Gert Aarts Gert Aarts true false 2017-01-10 SPH In the complex Langevin approach to lattice simulations at nonzero density, zeroes of the fermion determinant lead to a meromorphic drift and hence a need to revisit the theoretical derivation. We discuss how poles in the drift affect the formal justification of the approach and then explore the various potential issues in simple models, in a manner that is applicable to heavy dense and full QCD. Conference Paper/Proceeding/Abstract Proceedings of Science (Lattice 2016) 036 LATTICE2016 9 11 2016 2016-11-09 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2017-05-16T13:45:46.4191198 2017-01-10T16:25:51.3892266 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Gert Aarts 0000-0002-6038-3782 1 0031612-28042017134521.pdf 1611.02930.pdf 2017-01-10T16:26:12.6830000 Output 1542806 application/pdf Author's Original true 2017-01-10T00:00:00.0000000 Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-No Derivatives 4.0 International License (CC BY-NC-ND 4.0). true
title On complex Langevin dynamics and zeroes of the measure I: Formal proof and simple models
spellingShingle On complex Langevin dynamics and zeroes of the measure I: Formal proof and simple models
Gert Aarts
title_short On complex Langevin dynamics and zeroes of the measure I: Formal proof and simple models
title_full On complex Langevin dynamics and zeroes of the measure I: Formal proof and simple models
title_fullStr On complex Langevin dynamics and zeroes of the measure I: Formal proof and simple models
title_full_unstemmed On complex Langevin dynamics and zeroes of the measure I: Formal proof and simple models
title_sort On complex Langevin dynamics and zeroes of the measure I: Formal proof and simple models
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 036
publishDate 2016
institution Swansea University
publisher LATTICE2016
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
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description In the complex Langevin approach to lattice simulations at nonzero density, zeroes of the fermion determinant lead to a meromorphic drift and hence a need to revisit the theoretical derivation. We discuss how poles in the drift affect the formal justification of the approach and then explore the various potential issues in simple models, in a manner that is applicable to heavy dense and full QCD.
published_date 2016-11-09T03:38:37Z
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score 10.999547

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