Black hole entropy and effective potential

Details Black hole entropy and effective potential Black hole entropy and effective potential

Oct 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996cqgra..13.2797r&link_type=abstract

Classical and Quantum Gravity, Volume 13, Issue 10, pp. 2797-2809 (1996).

Physics

11

Scientific paper

The free energy and entropy for a non-extremal Reissner - Nordström black hole are studied by zeta-function regularization in WKB approximation. Their leading divergences agree with the Susskind - Uglum predictions. Logarithmic singularities appear in connection with the Seeley - De Witt coefficient for the scale anomaly. The equivalence between the small-0264-9381/13/10/016/img1 approximation and the optical space approach is checked. After taking advantage of renormalization group methods, effective potentials are considered for a scalar field with a 0264-9381/13/10/016/img2 self-interaction and scalar electrodynamics, both of them on a Schwarzschild background. Numerical study of the potential at the event horizon shows symmetry breaking, and we argue that in some conditions this effect may be a purely quantal one.

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