Four-point function in the IOP matrix model

Ben Michel

doi:10.1007/JHEP05(2016)048

Four-point function in the IOP matrix model

2016-05-10

43

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AI

DOI：10.1007/JHEP05(2016)048

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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.

Keyword:

1/N Expansion

AdS-CFT Correspondence

Field Theories in Lower Dimensions

Matrix Models

Four-point function in the IOP matrix model

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