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arxiv: hep-th/0007051 · v2 · submitted 2000-07-06 · ✦ hep-th

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Black Hole Thermodynamics from Calculations in Strongly-Coupled Gauge Theory

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classification ✦ hep-th
keywords approximationblackholemechanicsquantumentropyschemestrongly-coupled
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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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Cited by 2 Pith papers

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    A finite-dimensional regularization of the master field enables direct numerical computation of large-N matrix models in both Euclidean and Minkowski signatures while reproducing known solutions in simple test cases.

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