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arXiv · 0801.3657

A Matrix Model for Black Hole Thermalization

Norihiro Iizuka·Joseph Polchinski
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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 $N$ correlators decay to zero on long time scales, while at finite $N$ 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.

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Norihiro Iizuka, Joseph Polchinski. 2008-09-15. A Matrix Model for Black Hole Thermalization. https://doi.org/10.1088/1126-6708%2F2008%2F10%2F028

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