Phys. Rev. Lett. 86, 1426–1429 (2001)Black Hole Thermodynamics from Calculations in Strongly Coupled Gauge TheoryReceived 3 August 2000; published in the issue dated 19 February 2001 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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