Black hole entropy in the O(N) model

1995/06/30 by Daniel Kabat, D. Kabat, Stephen H. Shenker +3 · 3 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Quantum Electrodynamics and Casimir Effect #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevd.52.7027

published as Phys.Rev.D52:7027-7036,1995 · 21 pages, uses harvmac and epsf. one additional reference

arxiv created 1995/07/18 · openalex publication_date 1995/12/15 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We consider corrections to the entropy of a black hole from an O(N)-invariant linear \ensuremathσ model. We obtain the entropy from a 1/N expansion of the partition function on a cone. The entropy arises from diagrams which are analogous to those introduced by Susskind and Uglum to explain black hole entropy in string theory. The interpretation of the \ensuremathσ-model entropy depends on scale. At short distances, it has a state counting interpretation, as the entropy of entanglement of the N fields \mathrm\ensuremathφ^a. In the infrared, the effective theory has a single composite field \ensuremathσ\ensuremath∼\mathrm\ensuremathφ^a\mathrm\ensuremathφ^a, and the state counting interpretation of the entropy is lost. \textcopyright 1995 The American Physical Society.

Citations

• Quantum Fields in Curved Space
• Entropy and Area

Cited by

• Entanglement entropy in non-relativistic field theories
• Thermal fields, entropy and black holes
• Perfect mirrors and the self-accelerating box paradox