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Nonequilibrium time evolution of the spectral function in quantum field theory

Gert Aarts Orcid Logo, Jürgen Berges

Physical Review D, Volume: "D64", Issue: 10, Start page: 105010

Swansea University Author: Gert Aarts Orcid Logo

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DOI (Published version): 10.1103/PhysRevD.64.105010

Abstract

Transport or kinetic equations are often derived assuming a quasi-particle (on-shell) representation of the spectral function. We investigate this assumption using a three-loop approximation of the 2PI effective action in real time, without a gradient expansion or on-shell approximation. For a scala...

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Published in: Physical Review D
ISSN: 0556-2821 1089-4918
Published: 2001
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URI: https://cronfa.swan.ac.uk/Record/cronfa22614
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first_indexed 2015-07-21T11:25:50Z
last_indexed 2018-02-09T05:00:57Z
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spelling 2015-07-21T11:29:13.8298016 v2 22614 2015-07-21 Nonequilibrium time evolution of the spectral function in quantum field theory 1ba0dad382dfe18348ec32fc65f3f3de 0000-0002-6038-3782 Gert Aarts Gert Aarts true false 2015-07-21 SPH Transport or kinetic equations are often derived assuming a quasi-particle (on-shell) representation of the spectral function. We investigate this assumption using a three-loop approximation of the 2PI effective action in real time, without a gradient expansion or on-shell approximation. For a scalar field in 1+1 dimensions the nonlinear evolution, including the integration over memory kernels, can be solved numerically. We find that a spectral function approximately described by a nonzero width emerges dynamically. During the nonequilibrium time evolution the Wigner transformed spectral function is slowly varying, even in presence of strong qualitative changes in the effective particle distribution. These results may be used to make further analytical progress towards a quantum Boltzmann equation including off-shell effects and a nonzero width. Journal Article Physical Review D "D64" 10 105010 0556-2821 1089-4918 31 3 2001 2001-03-31 10.1103/PhysRevD.64.105010 http://inspirehep.net/record/553770 @articleAarts:2001qa, author = "Aarts, Gert and Berges, Juergen", title = "Nonequilibrium time evolution of the spectral function in quantum field theory", journal = "Phys.Rev.", volume = "D64", pages = "105010", doi = "10.1103/PhysRevD.64.105010", year = "2001", eprint = "hep-ph/0103049", archivePrefix = "arXiv", primaryClass = "hep-ph", reportNumber = "HD-THEP-01-11", SLACcitation = "%%CITATION = HEP-PH/0103049;%%", COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2015-07-21T11:29:13.8298016 2015-07-21T10:15:09.2916494 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Gert Aarts 0000-0002-6038-3782 1 Jürgen Berges 2
title Nonequilibrium time evolution of the spectral function in quantum field theory
spellingShingle Nonequilibrium time evolution of the spectral function in quantum field theory
Gert Aarts
title_short Nonequilibrium time evolution of the spectral function in quantum field theory
title_full Nonequilibrium time evolution of the spectral function in quantum field theory
title_fullStr Nonequilibrium time evolution of the spectral function in quantum field theory
title_full_unstemmed Nonequilibrium time evolution of the spectral function in quantum field theory
title_sort Nonequilibrium time evolution of the spectral function in quantum field theory
author_id_str_mv 1ba0dad382dfe18348ec32fc65f3f3de
author_id_fullname_str_mv 1ba0dad382dfe18348ec32fc65f3f3de_***_Gert Aarts
author Gert Aarts
author2 Gert Aarts
Jürgen Berges
format Journal article
container_title Physical Review D
container_volume "D64"
container_issue 10
container_start_page 105010
publishDate 2001
institution Swansea University
issn 0556-2821
1089-4918
doi_str_mv 10.1103/PhysRevD.64.105010
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/553770
document_store_str 0
active_str 0
description Transport or kinetic equations are often derived assuming a quasi-particle (on-shell) representation of the spectral function. We investigate this assumption using a three-loop approximation of the 2PI effective action in real time, without a gradient expansion or on-shell approximation. For a scalar field in 1+1 dimensions the nonlinear evolution, including the integration over memory kernels, can be solved numerically. We find that a spectral function approximately described by a nonzero width emerges dynamically. During the nonequilibrium time evolution the Wigner transformed spectral function is slowly varying, even in presence of strong qualitative changes in the effective particle distribution. These results may be used to make further analytical progress towards a quantum Boltzmann equation including off-shell effects and a nonzero width.
published_date 2001-03-31T03:26:47Z
_version_ 1763750976855998464
score 11.035634

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