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Phys. Rev. D 64, 124015 (2001) [16 pages]

Black hole entropy from nonperturbative gauge theory

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Daniel Kabat *
Department of Physics Columbia University, New York, New York 10027

Gilad Lifschytz †
Department of Physics, Princeton University, Princeton, New Jersey 08544
Department of Mathematics and Physics, University of Haifa at Oranim, Tivon 36006, Israel

David A. Lowe ‡
Department of Physics, Brown University, Providence, Rhode Island 02912

Received 8 August 2001; published 27 November 2001

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 nonextremal black hole with a 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 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.


©2001 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevD.64.124015
DOI: 10.1103/PhysRevD.64.124015
PACS: 04.70.Dy, 11.25.Sq

* Email addres: kabat@phys.columbia.edu
† Email address: giladl@research.haifa.ac.il
‡ Email address: lowe@het.brown.edu

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