Characteristic Polynomials in Coupled Matrix Models

TL;DR

This paper investigates the correlation functions of characteristic polynomials in coupled matrix models, revealing their determinantal structure through Schur polynomial expansion.

Contribution

It introduces a novel approach using Schur polynomial expansion to analyze the correlation functions in coupled matrix models.

Findings

Correlation functions exhibit a determinantal structure

Schur polynomial expansion effectively captures the correlation functions

Provides new insights into the spectral properties of coupled matrix models

Abstract

We study correlation functions of the characteristic polynomials in coupled matrix models based on the Schur polynomial expansion, which manifests their determinantal structure.