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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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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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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 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.
Item Description: @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: Faculty of Science and Engineering
Issue: 10
Start Page: 105002