Probing black holes in non-perturbative gauge theory

Details Probing black holes in non-perturbative gauge theory Probing black holes in non-perturbative gauge theory

2001-08-01

arxiv.org/abs/hep-th/0108006v3

Phys.Rev.D65:024012,2002

Physics

High Energy Physics

High Energy Physics - Theory

30 pages, LaTeX, 8 eps figures. v2: references added. v3: more references

Scientific paper

10.1103/PhysRevD.65.024012

We use a 0-brane to probe a ten-dimensional near-extremal black hole with N units of 0-brane charge. We work directly in the dual strongly-coupled quantum mechanics, using mean-field methods to describe the black hole background non-perturbatively. We obtain the distribution of W boson masses, and find a clear separation between light and heavy degrees of freedom. To localize the probe we introduce a resolving time and integrate out the heavy modes. After a non-trivial change of coordinates, the effective potential for the probe agrees with supergravity expectations. We compute the entropy of the probe, and find that the stretched horizon of the black hole arises dynamically in the quantum mechanics, as thermal restoration of unbroken U(N+1) gauge symmetry. Our analysis of the quantum mechanics predicts a correct relation between the horizon radius and entropy of a black hole.

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