Multicritical Matrix Models and the Chiral Phase Transition

TL;DR

This paper demonstrates the universality of multicritical unitary matrix models and discovers a new scaling behavior in the spectrum's microscopic region, potentially impacting understanding of the Dirac operator at the chiral phase transition.

Contribution

It establishes the universality of multicritical matrix models and identifies a novel scaling behavior relevant for chiral phase transition studies.

Findings

Universality of multicritical unitary matrix models.

Discovery of new microscopic spectral scaling behavior.

Potential implications for Dirac operator spectrum at phase transition.

Abstract

Universality of multicritical unitary matrix models is shown and a new scaling behavior is found in the microscopic region of the spectrum, which may be relevant for the low energy spectrum of the Dirac operator at the chiral phase transition.