The QCD phase diagram for small chemical potentials

TL;DR

This paper investigates the QCD phase diagram at small chemical potentials by computing thermodynamic derivatives, estimating the phase transition line, and analyzing the nature of the transition through Binder Cumulant measurements.

Contribution

It introduces a method to estimate the QCD phase transition line at small chemical potentials and assesses the transition order via Binder Cumulant analysis.

Findings

Estimated the phase transition line in the T, μ plane.

Quantified the impact of chemical potential on thermodynamic quantities.

Determined the order of the QCD phase transition.

Abstract

We compute derivatives of thermodynamic quantities with respect to $\mu$, at $\mu=0$ for 2 and 3 flavors of degenerate quark masses. This allows us to estimate the phase transition line in the $T,\mu$ plane and quantify the influence of a non vanishing chemical potential on the equation of state by computing lines of constant energy, pressure and density. Moreover we evaluate the order of the QCD phase transition by measuring the Binder Cumulant of the chiral condensate. This gives access to the chiral critical point on the phase transition line.