On geometric entropy

Curtis Callan, Frank Wilczek

Research output: Contribution to journalArticlepeer-review

615 Scopus citations


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
Issue number1-2
StatePublished - Jul 28 1994
Externally publishedYes

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


Dive into the research topics of 'On geometric entropy'. Together they form a unique fingerprint.

Cite this