A new type of critical behaviour in random matrix models

TL;DR

This paper discusses a novel critical behavior in random matrix models, where a new spectral cut emerges, leading to a third order phase transition, expanding understanding of phase phenomena in these models.

Contribution

It introduces the concept of a 'birth of a cut' in random matrix models, revealing a new type of critical behavior and phase transition not previously characterized.

Findings

Identification of a new spectral cut formation

Demonstration of a third order phase transition

Extension of random matrix theory understanding

Abstract

In view of the remarkable progress in the analysis of random matrix models during the last years we report on recent work of Eynard on the generation of a new cut in finite distance from the cuts given in the initial theory. This 'birth of a cut' leads to a third order phase transition.