Spontaneous symmetry breaking in fermionic random matrix model
High Energy Physics - Theory
2019-10-23 v1 Disordered Systems and Neural Networks
Mathematical Physics
math.MP
Abstract
A fermionic random matrix model, which is a 0-dimensional version of the SYK model with replicas, is considered. The replica-off-diagonal correlation functions vanish at finite N, but we show that they do not vanish in the large N limit due to spontaneous symmetry breaking. We use the Bogoliubov quasi-averages approach to studying phase transitions. The consideration may be relevant to the study of the problem of existence of the spin glass phase in fermionic models.
Cite
@article{arxiv.1902.09970,
title = {Spontaneous symmetry breaking in fermionic random matrix model},
author = {Irina Aref'eva and Igor Volovich},
journal= {arXiv preprint arXiv:1902.09970},
year = {2019}
}
Comments
14 pages, 4 figures