Black Hole Thermodynamics from Calculations in Strongly-Coupled Gauge Theory

Details Black Hole Thermodynamics from Calculations in Strongly-Coupled Gauge Theory Black Hole Thermodynamics from Calculations in Strongly-Coupled Gauge Theory

2000-07-06

arxiv.org/abs/hep-th/0007051v2

Int.J.Mod.Phys.A16:856-865,2001; Phys.Rev.Lett.86:1426-1429,2001

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, 5 figures, latex, (v2 minor corrections)

Scientific paper

10.1103/PhysRevLett.86.1426

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 non-extremal black hole with 0-brane charge. This result is in accord with the duality conjectured by Itzhaki, Maldacena, Sonnenschein and Yankielowicz. Our approximation scheme provides a model for the density matrix which describes a black hole in the strongly-coupled quantum mechanics.

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