On geometric entropy

Curtis Gove Callan, Frank Wilczek

Research output: Contribution to journalArticlepeer-review

590 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 languageEnglish (US)
Pages (from-to)55-61
Number of pages7
JournalPhysics Letters B
Volume333
Issue number1-2
DOIs
StatePublished - Jul 28 1994

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

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