Heat kernels and thermodynamics in Rindler space

Details Heat kernels and thermodynamics in Rindler space Heat kernels and thermodynamics in Rindler space

1994-07-13

arxiv.org/abs/hep-th/9407064v2

Phys.Rev.D51:5716-5719,1995

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1103/PhysRevD.51.5716

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.

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