Universal results from an alternate random matrix model for QCD with a baryon chemical potential

TL;DR

This paper introduces a new non-Hermitian random matrix model for QCD with baryon chemical potential, providing exact eigenvalue correlations and insights into the phase diagram, useful for understanding finite density effects.

Contribution

The paper presents a novel non-Hermitian random matrix model for QCD with chemical potential, extending previous models and enabling exact eigenvalue correlation calculations.

Findings

Exact eigenvalue correlations for all quark flavors

Parameters can be scaled to remove chemical potential effects

Model is suitable for studying QCD phase diagram

Abstract

We introduce a new non-Hermitian random matrix model for QCD with a baryon chemical potential. This model is a direct chiral extension of a previously studied model that interpolates between the Wigner-Dyson and Ginibre ensembles. We present exact results for all eigenvalue correlations for any number of quark flavors using the orthogonal polynomial method. We also find that the parameters of the model can be scaled to remove the effects of the chemical potential from all thermodynamic quantities until the finite density phase transition is reached. This makes the model and its extensions well suited for studying the phase diagram of QCD.