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Black hole entropy from non-perturbative gauge theory

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arxiv hep-th/0105171 v2 pith:HQXW2CNN submitted 2001-05-17 hep-th

Black hole entropy from non-perturbative gauge theory

Daniel Kabat , Gilad Lifschytz , David A. Lowe This is my paper
classification hep-th
keywords blackentropyholeapproximationfindmechanicsquantumaccord
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. A Double--Scaling Large--\(d\) Saddle of BFSS/BMN Matrix Quantum Mechanics

    hep-th 2026-06 unverdicted novelty 7.0

    A double-scaling large-d saddle for mass-deformed BFSS/BMN matrix QM interpolates between commutator-dominated and mass-dominated regimes, yielding BFSS_{2}-like low-T uniform-holonomy dynamics and IKKT-like high-T al...

  2. Molien--Weyl Singlet Counting and BFSS$_2$--Factorization in Gaussian Matrix QM

    hep-th 2026-05 unverdicted novelty 6.0

    The very-low-temperature bosonic singlet spectrum in BFSS_{d+1} is controlled by d(d+1)/2 quadratic Gram operators Tr(X_a X_b), with an exact BFSS_3 = (BFSS_2)^3 factorization at (d,N)=(2,2).

  3. Gram--Wishart--Stiefel formulation of the $N=2$, large--$d$ gauge theory in 1D

    hep-th 2026-07 conditional novelty 5.5

    Gram/Wishart/Stiefel reformulation of N=2 large-d BFSS/BMN endpoints absorbs -A into a shifted mass and recovers the universal continuum -2d DΛ-channel after non-polynomial transverse completion.

  4. Endpoint formulation and Molien--Weyl structure for the \(N=2\), large--\(d\) BFSS/BMN models

    hep-th 2026-05 unverdicted novelty 5.0

    Establishes equivalence between endpoint and Molien-Weyl formulations for large-d BFSS models on the lattice and derives finite continuum D-channel via a toy holonomy potential model.