Cubic asymmetric multitrace matrix model

TL;DR

This paper studies a multitrace random matrix model using saddle point approximation, introducing a specific multitrace term, and maps out its phase diagram including asymmetric phases and response functions.

Contribution

It introduces a new multitrace term to the matrix model and provides a detailed numerical phase diagram analysis including asymmetric phases and triple points.

Findings

Identification of a stable asymmetric phase

Mapping of the phase diagram including the triple point

Analysis of response functions in the model

Abstract

We analyze multitrace random matrix models with the help of the saddle point approximation and we introduce a multitrace term of type $-c_1c_3$ to the action. We obtain the numerical phase diagram of the model, with a stable asymmetric phase and the triple point. Furthermore, we examine response functions in this model.