Black Hole Entropy in the O(N) Model

Details Black Hole Entropy in the O(N) Model Black Hole Entropy in the O(N) Model

1995-06-27

arxiv.org/abs/hep-th/9506182v2

Phys.Rev.D52:7027-7036,1995

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, uses harvmac and epsf. one additional reference

Scientific paper

10.1103/PhysRevD.52.7027

We consider corrections to the entropy of a black hole from an $O(N)$ invariant linear $\s$-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 \sm entropy depends on scale. At short distances, it has a state counting interpretation, as the entropy of entanglement of the $N$ fields $\pa$. In the infrared, the effective theory has a single composite field $\s \sim \pa \pa$, and the state counting interpretation of the entropy is lost.

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