Black hole entropy from nonperturbative gauge theory

Kabat, Daniel N.; Lifschytz, Gilad; Lowe, David A.

doi:10.1103/PhysRevD.64.124015

Black hole entropy from nonperturbative gauge theory

Daniel N. Kabat
(
- Columbia U.
)
,
Gilad Lifschytz
(
- Princeton U. and
- Haifa U.
)
,
David A. Lowe
(
- Brown U.
)

May, 2001

35 pages

Published in:

Phys.Rev.D 64 (2001) 124015

e-Print:

hep-th/0105171 [hep-th]

DOI:

10.1103/PhysRevD.64.124015

Report number:

BROWN-HET-1264,
CU-TP-1017

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Abstract:

We present the details of a mean-field approximation scheme for the quantum mechanics of N D0-branes at finite temperature. The approximation can be applied at strong 't Hooft coupling. We find that the resulting entropy is in good agreement 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. We study the spectrum of single-string excitations within the quantum mechanics, and find evidence for a clear separation between light and heavy degrees of freedom. We also present a way of identifying the black hole horizon.

black hole: entropy
membrane model
finite temperature
quantum mechanics
mean field approximation
gauge field theory
nonperturbative
density matrix
propagator
supersymmetry

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