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Finiteness of hot classical scalar field theory and the plasmon damping rate

Gert Aarts Orcid Logo, Jan Smit

Physics Letters B, Volume: 393, Issue: 3-4, Pages: 395 - 402

Swansea University Author: Gert Aarts Orcid Logo

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Abstract

We investigate the renormalizability of the classical $\phi~4$ theory at finite temperature. We calculate the time-dependent two point function to two loop order and show that it can be rendered finite by the counterterms of the classical static theory. As an application the classical plasmon dampin...

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Published in: Physics Letters B
ISSN: 03702693
Published: 1996
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa22628
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Abstract: We investigate the renormalizability of the classical $\phi~4$ theory at finite temperature. We calculate the time-dependent two point function to two loop order and show that it can be rendered finite by the counterterms of the classical static theory. As an application the classical plasmon damping rate is found to be $\gm = \lambda~2 T~2/1536 \pi m$. When we use the high temperature expression for $m$ given by dimensional reduction, the rate is found to agree with the quantum mechanical result.
Item Description: @articleAarts:1996qi, author = "Aarts, Gert and Smit, Jan", title = "Finiteness of hot classical scalar field theory and the plasmon damping rate", journal = "Phys.Lett.", volume = "B393", pages = "395-402", doi = "10.1016/S0370-2693(96)01624-3", year = "1997", eprint = "hep-ph/9610415", archivePrefix = "arXiv", primaryClass = "hep-ph", reportNumber = "THU-96-37, ITFA-96-43", SLACcitation = "%%CITATION = HEP-PH/9610415;%%",
College: Faculty of Science and Engineering
Issue: 3-4
Start Page: 395
End Page: 402