Spectral form factor and semi-circle law in the time direction
High Energy Physics - Theory
2019-03-27 v2
Abstract
We study the time derivative of the connected part of spectral form factor, which we call the slope of ramp, in Gaussian matrix model. We find a closed formula of the slope of ramp at finite with non-zero inverse temperature. Using this exact result, we confirm numerically that the slope of ramp exhibits a semi-circle law as a function of time.
Cite
@article{arxiv.1811.09988,
title = {Spectral form factor and semi-circle law in the time direction},
author = {Kazumi Okuyama},
journal= {arXiv preprint arXiv:1811.09988},
year = {2019}
}
Comments
15 pages, 4 figures; v2: minor corrections, references added