Entropy of the Schwarzschild black hole to all orders in the Planck length

Abstract

Considering corrections to all orders in the Planck length on the quantum state density from a generalized uncertainty principle (GUP), we calculate the statistical entropy of the scalar field on the background of the Schwarzschild black hole without any cutoff. We obtain the entropy of the massive scalar field proportional to the horizon area.

arXiv comment13 pages, 1 figure; Minor typos corrected, one reference added; Accepted for publication in Phys. Lett. B

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