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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Published inThe journal of high energy physics Vol. 2016; no. 5; pp. 1 - 25
Main Authors Michel, Ben, Polchinski, Joseph, Rosenhaus, Vladimir, Suh, S. Josephine
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.05.2016
Subjects
Classical and Quantum Gravitation
Criteria
Decay
Elementary Particles
Feynman diagrams
Joining
Mathematical models
Oscillators
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum mechanics
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
String Theory
Time
AdS-CFT Correspondence
Field Theories in Lower Dimensions
Matrix Models
1/N Expansion
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ISSN1029-8479
1029-8479
DOI10.1007/JHEP05(2016)048

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Summary: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.
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ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP05(2016)048