QCD at non-zero temperature and density from the lattice

TL;DR

This paper reviews the challenges of simulating QCD at non-zero temperature and density using lattice methods, focusing on the re-weighting technique to locate the critical endpoint and analyze thermodynamic properties.

Contribution

It introduces the re-weighting method for lattice QCD at finite chemical potential and applies it to identify the critical endpoint in the phase diagram.

Findings

Identification of the critical endpoint in the QCD phase diagram.

Analysis of pressure and quark number susceptibility at small chemical potential.

Demonstration of the re-weighting method's effectiveness in finite density QCD simulations.

Abstract

The study of systems as diverse as the cores of neutron stars and heavy-ion collision experiments requires the understanding of the phase structure of QCD at non-zero temperature, T, and chemical potential, mu_q. We review some of the difficulties of performing lattice simulations of QCD with non-zero mu_q, and outline the re-weighting method used to overcome this problem. This method is used to determine the critical endpoint of QCD in the (mu_q,T) plane. We study the pressure and quark number susceptibility at small mu_q.