The QCD phase diagram, universal scaling, and Lee-Yang zeros

TL;DR

This paper discusses recent progress in understanding the QCD phase diagram, focusing on universal scaling near the critical point, Lee-Yang zeros, and their implications for locating the critical point and phase transition temperatures.

Contribution

It introduces a novel approach using Lee-Yang zeros and Padé approximations to analyze the QCD critical point and phase transition properties.

Findings

Estimated the critical phase transition temperature.

Determined the curvature of transition temperatures.

Located the QCD critical point.

Abstract

We will report on current progress in the understanding of the QCD phase diagram, including universal scaling in the chiral limit and the vicinity of the QCD critical point. In the latter case we will discuss the universal scaling of Lee-Yang zeros and their determination from multi-point Pad\'e approximations to the baryon number density at imaginary chemical potentials. In particular, reported results include the critical phase transition temperature, the curvature of the critical and pseudo-critical transition temperature with respect to the chemical potential and the location of the QCD critical point.