An improved random matrix model for the chiral phase transition in QCD at finite chemical potential

TL;DR

This paper introduces an improved random matrix model for QCD's chiral phase transition at finite chemical potential, aligning better with lattice results and addressing previous model limitations.

Contribution

It presents a refined RMM that incorporates features closer to lattice QCD, including a physical requirement for vanishing quark density in the broken phase.

Findings

Reproduces key features of lattice QCD at finite chemical potential.

Addresses the suppression of the partition function in the broken phase.

Bridges the gap between RMM predictions and lattice simulations.

Abstract

We consider a lattice-inspired random matrix model for the QCD chiral phase transition at finite chemical potential. Useful features of the usual RMM for QCD at finite chemical potential are reobtained, some being brought closer to their lattice equivalent. The simple physical requirement of a vanishing quark number density in the broken phase is fulfilled in the limit of a large number of timeslices. It is argued that the suppression of the partition function at nonzero chemical potential in the broken phase, seen in the usual RMM, is possibly present in lattice simulations and is simply a result of the discretization in time.