Singularities around the QCD critical point in the complex chemical potential plane

TL;DR

This paper investigates the nature of thermodynamic singularities near the QCD critical point by analyzing the behavior of the effective potential in the complex chemical potential plane using a mean field approach.

Contribution

It provides a concrete analysis of singularities around the QCD critical point through an effective mean field theory in the complex plane.

Findings

Identification of singularity structures near the QCD critical point

Behavior of extrema of the real part of the complex effective potential

Insights into the nature of phase transitions in complex chemical potential

Abstract

We consider thermodynamic singularities appearing in the complex chemical potential plane in the vicinity of QCD critical point. In order to investigate what the singularities are like in a concrete form, we resort to an effective theory based on a mean field approach. We study the behavior of extrema of the real part of the complex effective potential in the complex order parameter plane.