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Exact and truncated dynamics in nonequilibrium field theory

Gert Aarts Orcid Logo, Gian Franco Bonini, Christof Wetterich

Physical Review D, Volume: "D63", Issue: 2, Start page: 025012

Swansea University Author: Gert Aarts Orcid Logo

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DOI (Published version): 10.1103/PhysRevD.63.025012

Abstract

Nonperturbative dynamics of quantum fields out of equilibrium is often described by the time evolution of a hierarchy of correlation functions, using approximation methods such as Hartree, large N, and nPI-effective action techniques. These truncation schemes can be implemented equally well in a cla...

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Published in: Physical Review D
ISSN: 0556-2821 1089-4918
Published: 2000
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URI: https://cronfa.swan.ac.uk/Record/cronfa22615
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first_indexed 2015-07-21T11:25:50Z
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spelling 2015-07-21T11:29:13.8298016 v2 22615 2015-07-21 Exact and truncated dynamics in nonequilibrium field theory 1ba0dad382dfe18348ec32fc65f3f3de 0000-0002-6038-3782 Gert Aarts Gert Aarts true false 2015-07-21 SPH Nonperturbative dynamics of quantum fields out of equilibrium is often described by the time evolution of a hierarchy of correlation functions, using approximation methods such as Hartree, large N, and nPI-effective action techniques. These truncation schemes can be implemented equally well in a classical statistical system, where results can be tested by comparison with the complete nonlinear evolution obtained by numerical methods. For a 1+1 dimensional scalar field we find that the early-time behaviour is reproduced qualitatively by the Hartree dynamics. The inclusion of direct scattering improves this to the quantitative level. We show that the emergence of nonthermal temperature profiles at intermediate times can be understood in terms of the fixed points of the evolution equations in the Hartree approximation. The form of the profile depends explicitly on the initial ensemble. While the truncated evolution equations do not seem to be able to get away from the fixed point, the full nonlinear evolution shows thermalization with a (surprisingly) slow relaxation. Journal Article Physical Review D "D63" 2 025012 0556-2821 1089-4918 31 7 2000 2000-07-31 10.1103/PhysRevD.63.025012 http://inspirehep.net/record/531087 @articleAarts:2000wi, author = "Aarts, Gert and Bonini, Gian Franco and Wetterich, Christof", title = "Exact and truncated dynamics in nonequilibrium field theory", journal = "Phys.Rev.", volume = "D63", pages = "025012", doi = "10.1103/PhysRevD.63.025012", year = "2001", eprint = "hep-ph/0007357", archivePrefix = "arXiv", primaryClass = "hep-ph", reportNumber = "HD-THEP-00-32", SLACcitation = "%%CITATION = HEP-PH/0007357;%%", COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2015-07-21T11:29:13.8298016 2015-07-21T10:15:10.0092540 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Gert Aarts 0000-0002-6038-3782 1 Gian Franco Bonini 2 Christof Wetterich 3
title Exact and truncated dynamics in nonequilibrium field theory
spellingShingle Exact and truncated dynamics in nonequilibrium field theory
Gert Aarts
title_short Exact and truncated dynamics in nonequilibrium field theory
title_full Exact and truncated dynamics in nonequilibrium field theory
title_fullStr Exact and truncated dynamics in nonequilibrium field theory
title_full_unstemmed Exact and truncated dynamics in nonequilibrium field theory
title_sort Exact and truncated dynamics in nonequilibrium field theory
author_id_str_mv 1ba0dad382dfe18348ec32fc65f3f3de
author_id_fullname_str_mv 1ba0dad382dfe18348ec32fc65f3f3de_***_Gert Aarts
author Gert Aarts
author2 Gert Aarts
Gian Franco Bonini
Christof Wetterich
format Journal article
container_title Physical Review D
container_volume "D63"
container_issue 2
container_start_page 025012
publishDate 2000
institution Swansea University
issn 0556-2821
1089-4918
doi_str_mv 10.1103/PhysRevD.63.025012
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/531087
document_store_str 0
active_str 0
description Nonperturbative dynamics of quantum fields out of equilibrium is often described by the time evolution of a hierarchy of correlation functions, using approximation methods such as Hartree, large N, and nPI-effective action techniques. These truncation schemes can be implemented equally well in a classical statistical system, where results can be tested by comparison with the complete nonlinear evolution obtained by numerical methods. For a 1+1 dimensional scalar field we find that the early-time behaviour is reproduced qualitatively by the Hartree dynamics. The inclusion of direct scattering improves this to the quantitative level. We show that the emergence of nonthermal temperature profiles at intermediate times can be understood in terms of the fixed points of the evolution equations in the Hartree approximation. The form of the profile depends explicitly on the initial ensemble. While the truncated evolution equations do not seem to be able to get away from the fixed point, the full nonlinear evolution shows thermalization with a (surprisingly) slow relaxation.
published_date 2000-07-31T03:26:47Z
_version_ 1763750976978681856
score 11.037056

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