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Lefschetz thimbles and stochastic quantization: Complex actions in the complex plane

Gert Aarts Orcid Logo

Physical Review D, Volume: "D88", Issue: 9, Start page: 094501

Swansea University Author: Gert Aarts Orcid Logo

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DOI (Published version): 10.1103/PhysRevD.88.094501

Abstract

Lattice field theories with a complex action can be studied numerically by allowing a complexified configuration space to be explored. Here we compare the recently introduced formulation on a Lefschetz thimble with the result from stochastic quantisation (or complex Langevin dynamics) in the case of...

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Published in: Physical Review D
ISSN: 1550-7998 1550-2368
Published: 2013
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URI: https://cronfa.swan.ac.uk/Record/cronfa22576
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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 22576 2015-07-21 Lefschetz thimbles and stochastic quantization: Complex actions in the complex plane 1ba0dad382dfe18348ec32fc65f3f3de 0000-0002-6038-3782 Gert Aarts Gert Aarts true false 2015-07-21 SPH Lattice field theories with a complex action can be studied numerically by allowing a complexified configuration space to be explored. Here we compare the recently introduced formulation on a Lefschetz thimble with the result from stochastic quantisation (or complex Langevin dynamics) in the case of a simple model and contrast the distributions being sampled. We also study the role of the residual phase on the Lefschetz thimble. Journal Article Physical Review D "D88" 9 094501 1550-7998 1550-2368 31 8 2013 2013-08-31 10.1103/PhysRevD.88.094501 http://inspirehep.net/record/1250319 @articleAarts:2013fpa, author = "Aarts, Gert", title = "Lefschetz thimbles and stochastic quantization: Complex actions in the complex plane", journal = "Phys.Rev.", number = "9", volume = "D88", pages = "094501", doi = "10.1103/PhysRevD.88.094501", year = "2013", eprint = "1308.4811", archivePrefix = "arXiv", primaryClass = "hep-lat", SLACcitation = "%%CITATION = ARXIV:1308.4811;%%", COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2015-07-21T11:29:13.8298016 2015-07-21T10:14:41.5858718 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Gert Aarts 0000-0002-6038-3782 1
title Lefschetz thimbles and stochastic quantization: Complex actions in the complex plane
spellingShingle Lefschetz thimbles and stochastic quantization: Complex actions in the complex plane
Gert Aarts
title_short Lefschetz thimbles and stochastic quantization: Complex actions in the complex plane
title_full Lefschetz thimbles and stochastic quantization: Complex actions in the complex plane
title_fullStr Lefschetz thimbles and stochastic quantization: Complex actions in the complex plane
title_full_unstemmed Lefschetz thimbles and stochastic quantization: Complex actions in the complex plane
title_sort Lefschetz thimbles and stochastic quantization: Complex actions in the complex plane
author_id_str_mv 1ba0dad382dfe18348ec32fc65f3f3de
author_id_fullname_str_mv 1ba0dad382dfe18348ec32fc65f3f3de_***_Gert Aarts
author Gert Aarts
author2 Gert Aarts
format Journal article
container_title Physical Review D
container_volume "D88"
container_issue 9
container_start_page 094501
publishDate 2013
institution Swansea University
issn 1550-7998
1550-2368
doi_str_mv 10.1103/PhysRevD.88.094501
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/1250319
document_store_str 0
active_str 0
description Lattice field theories with a complex action can be studied numerically by allowing a complexified configuration space to be explored. Here we compare the recently introduced formulation on a Lefschetz thimble with the result from stochastic quantisation (or complex Langevin dynamics) in the case of a simple model and contrast the distributions being sampled. We also study the role of the residual phase on the Lefschetz thimble.
published_date 2013-08-31T03:26:42Z
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score 11.013686

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