On the Entropy of Quantum Fields in Black Hole Backgrounds

Details On the Entropy of Quantum Fields in Black Hole Backgrounds On the Entropy of Quantum Fields in Black Hole Backgrounds

1994-12-03

arxiv.org/abs/hep-th/9412027v2

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, phyzzx (added references)

Scientific paper

We show that the partition function for a scalar field in a static spacetime background can be expressed as a functional integral in the corresponding optical space, and point out that the difference between this and the functional integral in the original metric is a Liouville type action. A general formula for the free energy is derived in the high temperature approximation and applied to various cases. In particular we find that thermodynamics in the extremal Reissner-Nordstr\"om space has extra singularities that make it ill-defined.

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