Matrix at strong coupling

TL;DR

This paper investigates the strong coupling limit of Yang--Mills matrix models, revealing that their dynamics simplify to diagonal components with a linearly confining potential, and briefly discusses higher-dimensional pure Yang--Mills models.

Contribution

It provides an analysis of the strong coupling limit for Yang--Mills matrix models, highlighting the reduction to diagonal dynamics and confinement behavior.

Findings

Diagonal components dominate at strong coupling

Potential becomes linearly confining in this limit

Brief discussion on higher-dimensional pure Yang--Mills models

Abstract

We describe the strong coupling limit (g->infty) for the Yang--Mills type matrix models. In this limit the dynamics of the model is reduced to one of the diagonal components which is characterized by a linearly confining potential. We also shortly discuss the case of the pure Yang--Mills model in more than one dimension.