Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1996-07-02
Phys.Rev. D54 (1996) 7459-7469
Physics
High Energy Physics
High Energy Physics - Theory
29 pages, RevTeX, no figures. Minor errors corrected and a few comments changed since first submission. To be published on Phy
Scientific paper
10.1103/PhysRevD.54.7459
The thermal partition function of photons in any covariant gauge and gravitons in the harmonic gauge, propagating in a Rindler wedge, are computed using a local $\zeta$-function regularization approach. The correct Planckian leading order temperature dependence $T^4$ is obtained in both cases. For the photons, the existence of a surface term giving a negative contribution to the entropy is confirmed, as earlier obtained by Kabat, but this term is shown to be gauge dependent in the four-dimensional case and, therefore is discarded. It is argued that similar terms could appear dealing with any integer spin $s\geq 1$ in the massless case and in more general manifolds. Our conjecture is checked in the case of a graviton in the harmonic gauge, where different surface terms also appear, and physically consistent results arise dropping these terms. The results are discussed in relation to the quantum corrections to the black hole entropy.
Iellici Devis
Moretti Valter
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