Optical Approach for the Thermal Partition Function of Photons

Details Optical Approach for the Thermal Partition Function of Photons Optical Approach for the Thermal Partition Function of Photons

1996-10-23

arxiv.org/abs/hep-th/9610180v2

Phys.Rev. D55 (1997) 3552-3563

Physics

High Energy Physics

High Energy Physics - Theory

33 pages, RevTeX, no figures. Minor errors corrected, a few Comments changed and some references added since first submission.

Scientific paper

10.1103/PhysRevD.55.3552

The optical manifold method to compute the one-loop effective action in a static space-time is extended from the massless scalar field to the Maxwell field in any Feynman-like covariant gauge. The method is applied to the case of the Rindler space obtaining the same results as the point-splitting procedure. The result is free from Kabat's surface terms which instead affect the $\zeta$-function or heat-kernel approaches working directly in the static manifold containing conical singularities. The relation between the optical method and the direct $\zeta$-function approach on the Euclidean Rindler manifold is discussed both in the scalar and the photon cases. Problems with the thermodynamic self-consistency of the results obtained from the stress tensor in the case of the Rindler space are pointed out.

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