Exact Multi-Matrix Correlators

TL;DR

This paper demonstrates that restricted Schur polynomials serve as an effective basis for gauge-invariant operators in multi-matrix models, with exact two-point functions computed in free field theory showing diagonalization.

Contribution

It introduces the use of restricted Schur polynomials as a complete basis for multi-matrix gauge theories and provides exact two-point function calculations.

Findings

Restricted Schur polynomials form a complete basis for gauge-invariant variables.

Two-point functions of these polynomials are exactly computed and diagonal in free theory.

The approach simplifies analysis of multi-matrix models.

Abstract

We argue that restricted Schur polynomials provide a useful parameterization of the complete set of gauge invariant variables of multi-matrix models. The two point functions of restricted Schur polynomials are evaluated exactly in the free field theory limit. They have diagonal two point functions.