Black hole entropy from non-perturbative gauge theory

Details Black hole entropy from non-perturbative gauge theory Black hole entropy from non-perturbative gauge theory

2001-05-17

arxiv.org/abs/hep-th/0105171v2

Phys.Rev.D64:124015,2001

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 35 pages, 8 eps figures. v2: improved spectral analysis

Scientific paper

10.1103/PhysRevD.64.124015

We present the details of a mean-field approximation scheme for the quantum mechanics of N D0-branes at finite temperature. The approximation can be applied at strong 't Hooft coupling. We find that the resulting entropy is in good agreement with the Bekenstein-Hawking entropy of a ten-dimensional non-extremal black hole with 0-brane charge. This result is in accord with the duality conjectured by Itzhaki, Maldacena, Sonnenschein and Yankielowicz. We study the spectrum of single-string excitations within the quantum mechanics, and find evidence for a clear separation between light and heavy degrees of freedom. We also present a way of identifying the black hole horizon.

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