Four-point function in the IOP matrix model

A bstract 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...

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Veröffentlicht in:The journal of high energy physics 2016-05, Vol.2016 (5), p.1-25, Article 48
Hauptverfasser: Michel, Ben, Polchinski, Joseph, Rosenhaus, Vladimir, Suh, S. Josephine
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Sprache:eng
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Zusammenfassung:A bstract 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.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP05(2016)048