Four-point function in the IOP matrix model

Ben Michel; Joseph Polchinski; Vladimir Rosenhaus; S. Josephine Suh

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arXiv · 1602.06422

Four-point function in the IOP matrix model

Ben Michel·Joseph Polchinski·Vladimir Rosenhaus·S. Josephine Suh

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Abstract

The IOP model is a quantum mechanical system of a large-$N$ matrix oscillator and a fundamental oscillator, coupled through a quartic interaction. It was introduced previously as a toy model of the gauge dual of an AdS black hole, and captures a key property that at infinite $N$ the two-point function decays to zero on long time scales. Motivated by recent work on quantum chaos, we sum all planar Feynman diagrams contributing to the four-point function. We find that the IOP model does not satisfy the more refined criteria of exponential growth of the out-of-time-order four-point function.

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BibTeX RIS

Ben Michel, Joseph Polchinski, Vladimir Rosenhaus, S. Josephine Suh. 2016-02-20. Four-point function in the IOP matrix model. https://arxiv.org/abs/1602.06422

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