Deformed Cauchy random matrix ensembles and large $N$ phase transitions
High Energy Physics - Theory
2020-12-02 v2
Abstract
We study a new hermitian one-matrix model containing a logarithmic Penner's type term and another term, which can be obtained as a limit from logarithmic terms. For small coupling, the potential has an absolute minimum at the origin, but beyond a certain value of the coupling the potential develops a double well. For a higher critical value of the coupling, the system undergoes a large third-order phase transition.
Cite
@article{arxiv.2006.00672,
title = {Deformed Cauchy random matrix ensembles and large $N$ phase transitions},
author = {Jorge G. Russo},
journal= {arXiv preprint arXiv:2006.00672},
year = {2020}
}
Comments
16 pages, 10 figures