Quark number susceptibility around the critical end point

TL;DR

This paper investigates the behavior of quark number susceptibility near the critical end point in the QCD phase diagram using Dyson-Schwinger equations, aligning well with recent lattice QCD findings.

Contribution

It introduces a Dyson-Schwinger equation model that incorporates finite temperature and chemical potential to study quark number susceptibility near the critical end point.

Findings

Identification of the critical end point in the phase diagram.

Behavior of quark number susceptibility matches lattice QCD results.

Characteristic features near the critical point are highlighted.

Abstract

The quark number susceptibility is expressed as an integral in terms of dressed quark propagator and dressed vector vertex. It is then investigated with the latter two- and three-point functions confronted with a Dyson-Schwinger equation model which accommodates both finite temperature and baryon chemical potential. The critical end point in the phase diagram is identified and the behavior of the quark number susceptibility around the critical end point is highlighted. The characteristic features found agree well with recent lattice QCD simulation results.