Black hole thermodynamics from calculations in strongly coupled gauge theory.
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.
Kabat
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Department of Physics, Columbia University, New York, NY 10027, USA.
Lifschytz
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Lowe
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D055580:Astronomical Phenomena; D001256:Astronomy; D006112:Gravitation; D011789:Quantum Theory; D016082:Solar System; D013816:Thermodynamics