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Feynman rules for gauge theories at finite temperature
Abstract
Feynman's functional formulation of statistical mechanics is used to study general-relativistic quantum field theories at finite temperature. The techniques are then applied to gauge theories. The partition function $\mathrm{Tr}{e}^{\ensuremath{-}\ensuremath{\beta}H}$ is discovered to be a gauge-dependent quantity which is meaningless in most gauges. Instead, we define a physically meaningful partition function which is gauge-invariant and only equal to $\mathrm{Tr}{e}^{\ensuremath{-}\ensuremath{\beta}H}$ in certain "physical" gauges. Feynman rules for this partition function and for finite-temperature Green's functions are derived for a general gauge.
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Citations
Cited by
Action integrals and partition functions in quantum gravity
Gibbons, G. W., & Hawking, S. W. (1977) · Physical Review D · doi:10.1103/physrevd.15.2752 · Cited by 3,449
Harmonic analysis and propagators on homogeneous spaces
Camporesi, R. (1990) · Physics Reports · doi:10.1016/0370-1573(90)90120-q · Cited by 257
Phase transitions in quantum chromodynamics
Meyer-Ortmanns, H. (1996) · Reviews of Modern Physics · doi:10.1103/revmodphys.68.473 · Cited by 161
“The energy density contains a contribution from the vacuum, which is a β-independent infinite constant, cf. Bernard (1974).”
Finite temperature effects on baryon transport scattering in the early universe
Suh, I.-S., & Mathews, G. J. (1998) · Physical Review D · doi:10.1103/physrevd.58.025001 · Cited by 10
Metadata
- Authors
- Bernard, C. W.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 1974-06-15
- Volume
- 9
- Issue
- 12
- Pages
- 3312-3320
- ISSN
- 0556-2821 (ISSN-L)
- OpenAlex
- W2126747732
- Cited by
- 499
- References
- 0
- FWCI
- 5.80
- Type
- journal article
- Language
- en
- Open access
- closed
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- Bernard, C. W. (1974). Feynman rules for gauge theories at finite temperature. Physical Review D. https://doi.org/10.1103/physrevd.9.3312
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