On geometric entropy

Curtis Gove Callan; Frank Wilczek

doi:10.1016/0370-2693(94)91007-3

On geometric entropy

Curtis Gove Callan, Frank Wilczek

Research output: Contribution to journal › Article › peer-review

551 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	55-61
Number of pages	7
Journal	Physics Letters B
Volume	333
Issue number	1-2
DOIs	https://doi.org/10.1016/0370-2693(94)91007-3
State	Published - Jul 28 1994

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

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10.1016/0370-2693(94)91007-3

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title = "On geometric entropy",

abstract = "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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AB - 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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JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

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