Four-point function in the IOP matrix model
High Energy Physics - Theory
2016-02-23 v1 Statistical Mechanics
Strongly Correlated Electrons
Abstract
The IOP model is a quantum mechanical system of a large- 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 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.
Cite
@article{arxiv.1602.06422,
title = {Four-point function in the IOP matrix model},
author = {Ben Michel and Joseph Polchinski and Vladimir Rosenhaus and S. Josephine Suh},
journal= {arXiv preprint arXiv:1602.06422},
year = {2016}
}
Comments
28 pages, 10 figures