Heat kernels and thermodynamics in Rindler space

Abstract

We point out that using the heat kernel on a cone to compute the first quantum correction to the entropy of Rindler space does not yield the correct temperature dependence. In order to obtain the physics at arbitrary temperature one must compute the heat kernel in a geometry with different topology (without a conical singularity). This is done in two ways, which are shown to agree with computations performed by other methods. Also, we discuss the ambiguities in the regularization procedure.

9 pages , LaTex, EHU-FT-94/5 (Revised version: the role played by regularization is clarified)

References in corpus (6)

• On Geometric Entropy
• Black Hole Entropy in Canonical Quantum Gravity and Superstring Theory
• A Comment on Entropy and Area
• The Heat Kernel Expansion on a Cone and Quantum Fields Near Cosmic Strings
• Remarks on geometric entropy
• Horizon divergences of Fields and Strings in Black Hole backgrounds

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