Eigenvalue instantons in the spectral form factor of random matrix model
High Energy Physics - Theory
2019-05-01 v2
Abstract
We study the late time plateau behavior of the spectral form factor in the Gaussian Unitary Ensemble (GUE) random matrix model. The time derivative of the spectral form factor in the plateau regime is not strictly zero, but non-zero due to a non-perturbative correction in the expansion. We argue that such a non-perturbative correction comes from the eigenvalue instanton of random matrix model and we explicitly compute the instanton correction as a function of time.
Keywords
Cite
@article{arxiv.1812.09469,
title = {Eigenvalue instantons in the spectral form factor of random matrix model},
author = {Kazumi Okuyama},
journal= {arXiv preprint arXiv:1812.09469},
year = {2019}
}
Comments
13 pages, 2 figures; v2: minor corrections, references added