Lee-Yang zeros and edge singularity in a mean-field approach

TL;DR

This paper studies the distribution of Lee-Yang zeros in a mean-field QCD model at finite size, analyzing their relation to phase transitions and comparing methods to locate the critical point.

Contribution

It introduces a detailed analysis of Lee-Yang zeros in a mean-field QCD model, emphasizing finite-size effects and the importance of corrections for accurate critical point identification.

Findings

Lee-Yang zeros' temperature dependence is characterized for various system sizes.

Finite-size scaling methods can effectively locate the critical point.

Proper treatment of irrelevant operators' corrections is essential for accuracy.

Abstract

The analytic structure of the partition function in finite-volume systems is investigated at complex chemical potentials in a minimal mean-field effective model of QCD with finite-size effects incorporated. We discuss the temperature dependence of the Lee-Yang zeros and their relation to the edge singularity for various system sizes. Different methods for locating the critical point based on finite-size scaling of Lee-Yang zeros and susceptibility ratios are compared. We demonstrate that these methods can successfully identify the critical point, whereas a careful treatment of corrections from irrelevant operators is crucial for its accurate determination.