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Phys. Rev. Lett. 86, 1426 - 1429 (2001)

Black Hole Thermodynamics from Calculations in Strongly Coupled Gauge Theory

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Daniel Kabat1,2, Gilad Lifschytz3, and David A. Lowe4
1Department of Physics, Columbia University, New York, New York 10027
2School of Natural Sciences, Institute for Advanced Study, Princeton, New Jersey 08540
3Department of Physics, Princeton University, Princeton, New Jersey 08544
4Department of Physics, Brown University, Providence, Rhode Island 02912

Received 3 August 2000

We develop an approximation scheme for the quantum mechanics of N D0-branes at finite temperature in the 't Hooft large- N limit. The entropy of the quantum mechanics calculated using this approximation agrees well with the Bekenstein-Hawking entropy of a ten-dimensional nonextremal black hole with 0-brane charge. This result is in accordance with the duality conjectured by Itzhaki, Maldacena, Sonnenschein, and Yankielowicz [Phys. Rev. D 58, 046004 (1998)]. Our approximation scheme provides a model for the density matrix which describes a black hole in the strongly coupled quantum mechanics.


©2001 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevLett.86.1426
DOI: 10.1103/PhysRevLett.86.1426
PACS: 04.70.Dy, 11.15.Pg, 11.25.Sq

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