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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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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
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa22626
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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 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.
Item Description: @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: Faculty of Science and Engineering
Issue: 1-2
Start Page: 451
End Page: 478