QCD Critical Point and Complex Chemical Potential Singularities

TL;DR

This paper investigates the complex singularities in QCD's thermodynamics near the critical point, using scaling, universality, and a random matrix model to inform lattice QCD efforts.

Contribution

It introduces a novel analysis of complex chemical potential singularities in QCD, combining theoretical scaling arguments with model calculations to guide critical point searches.

Findings

Identification of complex singularities near the QCD critical point

Application of universality to predict singularity behavior

Insights for lattice QCD simulations to locate the critical point

Abstract

The thermodynamic singularities of QCD in the plane of complex baryo-chemical potential mu are studied. Predictions are made using scaling and universality arguments in the vicinity of the massless quark limit. The results are illustrated by a calculation of complex mu singularities in a random matrix model at finite temperature. Implications for lattice QCD simulations aimed at locating the QCD critical point are discussed.