Phase diagram of scalar field theory on fuzzy sphere and multitrace matrix models

TL;DR

This paper investigates the phase structure of scalar field theory on the fuzzy sphere using multitrace matrix models, analyzing both perturbative and nonperturbative effects on phase transitions and critical points.

Contribution

It introduces a detailed analysis of the phase diagram incorporating perturbative and nonperturbative terms in a multitrace matrix model framework.

Findings

Identification of the phase diagram structure

Effects of nonperturbative terms on phase transitions

Location of the triple point in the phase space

Abstract

We study the phase diagram of the scalar field theory on the fuzzy sphere described as a particular multitrace matrix model. We consider perturbative and nonperturbative terms in the kinetic term effective action and describe consequences for the asymmetric regime, the free energy and the location of the triple point within the approximation.