On Geometric Entropy

Details On Geometric Entropy On Geometric Entropy

1994-01-14

arxiv.org/abs/hep-th/9401072v3

Phys.Lett. B333 (1994) 55-61

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, no figures, REVTEX, IASSNS-HEP 93/87 - Some corrections made

Scientific paper

10.1016/0370-2693(94)91007-3

We show that a geometrical notion of entropy, definable in flat space, governs the first quantum correction to the Bekenstein-Hawking black hole entropy. We describe two methods for calculating this entropy -- a straightforward Hamiltonian approach, and a less direct but more powerful Euclidean (heat kernel) method. The entropy diverges in quantum field theory in the absence of an ultraviolet cutoff. Various related finite quantities can be extracted with further work. We briefly discuss the corresponding question in string theory.

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