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Divergences in real-time classical field theories at nonzero temperature

Gert Aarts Orcid Logo, Bert-Jan Nauta, Chris G. van Weert

Physical Review D, Volume: "D61", Issue: 10, Start page: 105002

Swansea University Author: Gert Aarts Orcid Logo

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DOI (Published version): 10.1103/PhysRevD.61.105002

Abstract

The classical approximation provides a non-perturbative approach to time-dependent problems in finite temperature field theory. We study the divergences in hot classical field theory perturbatively. At one-loop, we show that the linear divergences are completely determined by the classical equivalen...

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Published in: Physical Review D
ISSN: 0556-2821 1089-4918
Published: 1999
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URI: https://cronfa.swan.ac.uk/Record/cronfa22618
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spelling 2016-04-13T11:39:21.7106574 v2 22618 2015-07-21 Divergences in real-time classical field theories at nonzero temperature 1ba0dad382dfe18348ec32fc65f3f3de 0000-0002-6038-3782 Gert Aarts Gert Aarts true false 2015-07-21 SPH The classical approximation provides a non-perturbative approach to time-dependent problems in finite temperature field theory. We study the divergences in hot classical field theory perturbatively. At one-loop, we show that the linear divergences are completely determined by the classical equivalent of the hard thermal loops in hot quantum field theories, and that logarithmic divergences are absent. To deal with higher-loop diagrams, we present a general argument that the superficial degree of divergence of classical vertex functions decreases by one with each additional loop: one-loop contributions are superficially linearly divergent, two-loop contributions are superficially logarithmically divergent, and three- and higher-loop contributions are superficially finite. We verify this for two-loop SU(N) self-energy diagrams in Feynman and Coulomb gauges. We argue that hot, classical scalar field theory may be completely renormalized by local (mass) counterterms, and discuss renormalization of SU(N) gauge theories. Journal Article Physical Review D "D61" 10 105002 0556-2821 1089-4918 30 11 1999 1999-11-30 10.1103/PhysRevD.61.105002 http://inspirehep.net/record/510684 @articleAarts:1999wj, author = "Aarts, Gert and Nauta, Bert-Jan and van Weert, Chris G.", title = "Divergences in real time classical field theories at nonzero temperature", journal = "Phys.Rev.", volume = "D61", pages = "105002", doi = "10.1103/PhysRevD.61.105002", year = "2000", eprint = "hep-ph/9911463", archivePrefix = "arXiv", primaryClass = "hep-ph", reportNumber = "HD-THEP-99-49, ITFA-99-33", SLACcitation = "%%CITATION = HEP-PH/9911463;%%", COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2016-04-13T11:39:21.7106574 2015-07-21T10:15:12.0996674 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Gert Aarts 0000-0002-6038-3782 1 Bert-Jan Nauta 2 Chris G. van Weert 3
title Divergences in real-time classical field theories at nonzero temperature
spellingShingle Divergences in real-time classical field theories at nonzero temperature
Gert Aarts
title_short Divergences in real-time classical field theories at nonzero temperature
title_full Divergences in real-time classical field theories at nonzero temperature
title_fullStr Divergences in real-time classical field theories at nonzero temperature
title_full_unstemmed Divergences in real-time classical field theories at nonzero temperature
title_sort Divergences in real-time classical field theories at nonzero temperature
author_id_str_mv 1ba0dad382dfe18348ec32fc65f3f3de
author_id_fullname_str_mv 1ba0dad382dfe18348ec32fc65f3f3de_***_Gert Aarts
author Gert Aarts
author2 Gert Aarts
Bert-Jan Nauta
Chris G. van Weert
format Journal article
container_title Physical Review D
container_volume "D61"
container_issue 10
container_start_page 105002
publishDate 1999
institution Swansea University
issn 0556-2821
1089-4918
doi_str_mv 10.1103/PhysRevD.61.105002
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/510684
document_store_str 0
active_str 0
description The classical approximation provides a non-perturbative approach to time-dependent problems in finite temperature field theory. We study the divergences in hot classical field theory perturbatively. At one-loop, we show that the linear divergences are completely determined by the classical equivalent of the hard thermal loops in hot quantum field theories, and that logarithmic divergences are absent. To deal with higher-loop diagrams, we present a general argument that the superficial degree of divergence of classical vertex functions decreases by one with each additional loop: one-loop contributions are superficially linearly divergent, two-loop contributions are superficially logarithmically divergent, and three- and higher-loop contributions are superficially finite. We verify this for two-loop SU(N) self-energy diagrams in Feynman and Coulomb gauges. We argue that hot, classical scalar field theory may be completely renormalized by local (mass) counterterms, and discuss renormalization of SU(N) gauge theories.
published_date 1999-11-30T03:26:47Z
_version_ 1763750977344634880
score 11.037056

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