A Matrix Model for Black Hole Thermalization
High Energy Physics - Theory
2009-10-09 v3 General Relativity and Quantum Cosmology
Abstract
We present a matrix model which is intended as a toy model of the gauge dual of an AdS black hole. In particular, it captures the key property that at infinite correlators decay to zero on long time scales, while at finite this cannot happen. The model consists of a harmonic oscillator in the adjoint which acts as a heat bath for a particle in the fundamental representation. The Schwinger-Dyson equation reduces to a closed recursion relation, which we study by various analytical and numerical methods. We discuss some implications for the information problem.
Keywords
Cite
@article{arxiv.0801.3657,
title = {A Matrix Model for Black Hole Thermalization},
author = {Norihiro Iizuka and Joseph Polchinski},
journal= {arXiv preprint arXiv:0801.3657},
year = {2009}
}
Comments
23 pages, 5 eps figures. v2: expanded discussion of model, added references. v3: slightly expanded conclusions