The Thermal variational principle and gauge fields

Schroder, York; Schulz, Hermann

doi:10.1103/PhysRevD.54.7677

The Thermal variational principle and gauge fields

York Schroder
(
- DESY
)
,
Hermann Schulz
(
- Hannover U.
)

Oct, 1995

31 pages

Published in:

Phys.Rev.D 54 (1996) 7677-7694

e-Print:

hep-ph/9510305 [hep-ph]

DOI:

10.1103/PhysRevD.54.7677

Report number:

DESY-95-186,
ITP-UH-22-95,
PRINT-96-277 (DESY)

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Abstract:

A Feynman--Jensen version of the thermal variational principle is applied to hot gauge fields, abelian as well as nonabelian

\,

: scalar electrodynamics (without scalar self-coupling) and the gluon plasma. The perturbatively known self-energies are shown to derive by variation from a free quadratic (''gaussian'') trial Lagrangian. Independence of the covariant gauge fixing parameter is reached (within the order

g~2

studied and for scalar ED) after a reformulation of the partition function such that it depends on only even powers of the gauge field. This way, however, the potential non-perturbative power of the calculus seems to be ruined.

11.15.Tk
11.10.Wx
gauge field theory
finite temperature
quantum electrodynamics: scalar
gluon: plasma
propagator: renormalization
effective Lagrangian
partition function
path integral: measure

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