Gauge covariant heat kernel expansion at finite temperature

Details Gauge covariant heat kernel expansion at finite temperature Gauge covariant heat kernel expansion at finite temperature

2003-02-18

arxiv.org/abs/hep-th/0302142v1

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, Revtex4, no figures

Scientific paper

The heat kernel method is extended to the case of finite temperature. Special emphasis is given to the study of gauge theories. Due to the compactness of space in the Euclidean time direction (inverse temperature) the field strength cannot completely characterize the gauge fields. This is just a manifestation of the Aharonov-Bohm effect. The field strength has to be supplemented by the Polyakov loop. Only if the latter is taken into account one obtains gauge covariant results for the generalized Seeley-DeWitt coefficients of the heat kernel expansion.

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