Wilsonian Matrix Renormalization Group

TL;DR

This paper outlines the Wilsonian renormalization group method applied to matrix models, focusing on fixed point computation to understand phase structures in noncommutative scalar phi-four theory.

Contribution

It introduces a Wilsonian RG framework for multitrace matrix models and analyzes their fixed points relevant to noncommutative field theories.

Findings

Identification of fixed points in multitrace matrix models

Insights into phase structure of noncommutative scalar phi-four theory

Development of RG techniques for matrix models

Abstract

The Wilsonian renormalization group approach to matrix models is outlined and applied to multitrace matrix models with emphasis on the computation of the fixed points which could describe the phase structure of noncommutative scalar phi-four theory.