A Renormalization Group Approach to A Yang-Mills Two Matrix Model

TL;DR

This paper applies a matrix renormalization group method to a Yang-Mills two matrix model with mass terms, revealing critical behavior akin to 2D Euclidean gravity and discussing massless limits and quadratic term generation.

Contribution

It introduces a renormalization group analysis to the Yang-Mills two matrix model, highlighting its critical behavior and mass term dynamics.

Findings

Model exhibits critical behavior similar to 2D Euclidean gravity

Massless limit and quadratic term generation are analyzed

Renormalization group flow affects mass terms and criticality

Abstract

A Yang-Mills type two matrix model with mass terms is studied by use of a matrix renormalization group approach proposed by Brezin and Zinn-Justin. The renormalization group method indicates that the model exhibits a critical behavior similar to that of two dimensional Euclidean gravity. A massless limit and the generation of quadratic terms along the renormalization group flow are discussed.