Affiliation:
1. Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141 980 Dubna, Moscow Region, Russia
Abstract
Ultraviolet regime in quantum theory with horizons, contrary to ordinary theory, depends on the temperature of the system which is due to additional surface divergences in the effective action. We evaluate their general one-loop structure paying attention to effects of the curvature of the space-time near the horizon. In particular, apart from the area term, the entropy of a black hole is shown to acquire a topological correction in the form of the integral curvature of the horizon. To get the entropy, heat capacity and other finite thermodynamical quantities, such as the kind of singularities should be removed by renormalization of a number of constants in a surface functional introduced in the effective action at arbitrary temperature. We also discuss a discrepancy in the different regularization techniques.
Publisher
World Scientific Pub Co Pte Lt
Subject
General Physics and Astronomy,Astronomy and Astrophysics,Nuclear and High Energy Physics
Cited by
37 articles.
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