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Divergences in real-time classical field theories at nonzero temperature
Gert Aarts 
,
Bert-Jan Nauta,
Chris G. van Weert
,
Bert-Jan Nauta,
Chris G. van Weert
Physical Review D, Volume: "D61", Issue: 10, Start page: 105002
Swansea University Author:
Gert Aarts
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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...
| Published in: | Physical Review D |
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| ISSN: | 0556-2821 1089-4918 |
| Published: |
1999
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| Online Access: |
Check full text
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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. |
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| 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 |