ONE-LOOP QUANTUM CORRECTIONS TO THE ENTROPY FOR A 4-DIMENSIONAL ETERNAL BLACK HOLE

Abstract

The first quantum corrections to the free energy for an eternal 4-dimensional black hole is investigated at one-loop level, in the large mass limit of the black hole, making use of the conformal techniques related to the optical metric. The quadratic and logarithmic divergences as well as a finite part associated with the first quantum correction to the entropy are obtained at a generic temperature. It is argued that, at the Hawking temperature, the horizon divergences of the internal energy should cancel. Some comments on the divergences of the entropy are also presented.

9 pages Latex, -- Latex problems have been eliminated

References in corpus (6)

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• A Comment on Entropy and Area
• Remarks on geometric entropy
• Wavefunction of a Black Hole and the Dynamical Origin of Entropy
• Why the Entropy of a Black Hole is $A/4$?
• Quantum Corrections to Black Hole Entropy in String Theory

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