Scaling behavior of chiral phase transition in two-flavor QCD with improved Wilson quarks at finite density

TL;DR

This paper investigates the scaling behavior of the chiral phase transition in two-flavor QCD with improved Wilson quarks at finite density, extending previous zero-density studies to low-density regions and analyzing the phase boundary curvature.

Contribution

It extends the understanding of chiral phase transition scaling in two-flavor QCD to finite density using improved Wilson quarks and explores the phase boundary curvature assuming O(4) scaling.

Findings

Scaling behavior matches the O(4) spin model at zero density.

Chiral phase transition properties are consistent at low densities.

Calculated the curvature of the phase boundary in the temperature-chemical potential plane.

Abstract

We study scaling behavior of a chiral order parameter performing a simulation of two-flavor QCD with improved Wilson quarks. It has been shown that the scaling behavior of the chiral order parameter defined by a Ward-Takahashi identity agrees with the scaling function of the three-dimensional O(4) spin model at zero chemical potential. We extend the scaling study to finite density QCD. Calculating derivatives of the chiral order parameter with respect to the chemical potential in two-flavor QCD, the scaling property of chiral phase transition is discussed in the low density region. We moreover calculate the curvature of the phase boundary of the chirl phase transition in the temperature and chemical potential plane assuming the O(4) scaling relation.