A chiral random matrix model with 2+1 flavors at finite temperature and density

TL;DR

This paper presents a study of the phase diagram of a chiral random matrix model with 2+1 flavors at finite temperature and density, analyzing phase transitions, meson masses, and susceptibilities.

Contribution

It introduces a chiral random matrix model incorporating 2+1 flavors at finite temperature and density, exploring phase transitions and critical behavior.

Findings

First-order transition at finite temperature for three massless flavors.

Expansion of the first-order transition region with increasing chemical potential.

Behavior of meson masses and susceptibilities near the critical point.

Abstract

Phase diagram of a chiral random matrix model with the degenerate ud quarks and the s quark at finite temperature and density is presented. The model exhibits a first-order transition at finite temperature for three massless flavors, owing to the U_A(1) breaking determinant term. We study the order of the transition with changing the quark masses and the quark chemical potential, and show that the first-order transition region expands as the chemical potential increases. We also discuss the behavior of the meson masses and the susceptibilities near the critical point.