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Classical approximation for time-dependent quantum field theory: Diagrammatic analysis for hot scalar fields

Gert Aarts Orcid Logo, Jan Smit

Nuclear Physics B, Volume: 511, Issue: 1-2, Pages: 451 - 478

Swansea University Author: Gert Aarts Orcid Logo

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DOI (Published version): 10.1016/S0550-3213(97)00723-2

Abstract

We study time dependent correlation functions in hot quantum and classical field theory for the $\lambda\phi^4$ case. We set up the classical analogue of thermal field theory and make a direct comparison between the quantum and classical diagrams. A restriction to time independent correlation functi...

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Published in: Nuclear Physics B
ISSN: 05503213
Published: 1997
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URI: https://cronfa.swan.ac.uk/Record/cronfa22626
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first_indexed 2015-07-21T11:25:52Z
last_indexed 2018-02-09T05:00:59Z
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spelling 2016-04-13T11:28:50.2295706 v2 22626 2015-07-21 Classical approximation for time-dependent quantum field theory: Diagrammatic analysis for hot scalar fields 1ba0dad382dfe18348ec32fc65f3f3de 0000-0002-6038-3782 Gert Aarts Gert Aarts true false 2015-07-21 SPH We study time dependent correlation functions in hot quantum and classical field theory for the $\lambda\phi^4$ case. We set up the classical analogue of thermal field theory and make a direct comparison between the quantum and classical diagrams. A restriction to time independent correlation functions gives the connection with conventional dimensional reduction. If the parameters in the classical theory are chosen according to the dimensional reduction matching relations, the classical expressions are cutoff independent and they approximate the quantum expressions, provided that the external momenta and frequencies are small with respect to the temperature. Journal Article Nuclear Physics B 511 1-2 451 478 05503213 31 7 1997 1997-07-31 10.1016/S0550-3213(97)00723-2 http://inspirehep.net/record/445612 @articleAarts:1997kp, author = "Aarts, Gert and Smit, Jan", title = "Classical approximation for time dependent quantum field theory: Diagrammatic analysis for hot scalar fields", journal = "Nucl.Phys.", volume = "B511", pages = "451-478", doi = "10.1016/S0550-3213(97)00723-2", year = "1998", eprint = "hep-ph/9707342", archivePrefix = "arXiv", primaryClass = "hep-ph", reportNumber = "THU-97-15, ITFA-97-24", SLACcitation = "%%CITATION = HEP-PH/9707342;%%", COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2016-04-13T11:28:50.2295706 2015-07-21T10:15:17.7469036 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Gert Aarts 0000-0002-6038-3782 1 Jan Smit 2
title Classical approximation for time-dependent quantum field theory: Diagrammatic analysis for hot scalar fields
spellingShingle Classical approximation for time-dependent quantum field theory: Diagrammatic analysis for hot scalar fields
Gert Aarts
title_short Classical approximation for time-dependent quantum field theory: Diagrammatic analysis for hot scalar fields
title_full Classical approximation for time-dependent quantum field theory: Diagrammatic analysis for hot scalar fields
title_fullStr Classical approximation for time-dependent quantum field theory: Diagrammatic analysis for hot scalar fields
title_full_unstemmed Classical approximation for time-dependent quantum field theory: Diagrammatic analysis for hot scalar fields
title_sort Classical approximation for time-dependent quantum field theory: Diagrammatic analysis for hot scalar fields
author_id_str_mv 1ba0dad382dfe18348ec32fc65f3f3de
author_id_fullname_str_mv 1ba0dad382dfe18348ec32fc65f3f3de_***_Gert Aarts
author Gert Aarts
author2 Gert Aarts
Jan Smit
format Journal article
container_title Nuclear Physics B
container_volume 511
container_issue 1-2
container_start_page 451
publishDate 1997
institution Swansea University
issn 05503213
doi_str_mv 10.1016/S0550-3213(97)00723-2
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/445612
document_store_str 0
active_str 0
description We study time dependent correlation functions in hot quantum and classical field theory for the $\lambda\phi^4$ case. We set up the classical analogue of thermal field theory and make a direct comparison between the quantum and classical diagrams. A restriction to time independent correlation functions gives the connection with conventional dimensional reduction. If the parameters in the classical theory are chosen according to the dimensional reduction matching relations, the classical expressions are cutoff independent and they approximate the quantum expressions, provided that the external momenta and frequencies are small with respect to the temperature.
published_date 1997-07-31T03:26:48Z
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score 11.037056

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