Finite temperature QCD phase transition with 3 flavors of M\"obius domain wall fermions

TL;DR

This study uses M"obius domain wall fermions to analyze the finite temperature QCD phase transition with three degenerate quark flavors, identifying crossover regions and exploring the critical endpoint near the Columbia plot.

Contribution

First investigation of the QCD phase transition with three flavors using M"obius domain wall fermions at multiple temperatures and volumes, exploring the transition's nature and critical points.

Findings

Crossover at $m_q^{ar{MS}} \,\sim 44$ MeV at 181 MeV temperature

Crossover at $m_q^{ar{MS}} \,\sim 3.7$ MeV at 121 MeV

Volume dependence analysis needed for confirmation

Abstract

We investigate the finite temperature QCD phase transition with three degenerate quark flavors using M\"{o}bius domain wall fermions. To explore the order of phase transition on the lower left corner of Columbia plot and if possible, to locate the critical endpoint we performed simulations at temperatures around 181 and 121 MeV with lattice spacing $a=0.1361(20)$ fm corresponding to temporal lattice extent $N_{\tau}=8,12$ with varying quark mass for two different volumes with aspect ratios $N_{\sigma}/N_{\tau}$ ranging from 2 to 3. By analyzing the volume and mass dependence of the chiral condensate, disconnected chiral susceptibility and Binder cumulant we find that there is a crossover at $m_q^{\mathrm{\overline {MS}}}(2\, \mathrm{GeV}) \sim 44\, \mathrm{MeV}$ for $\mathrm{T_{pc}}\sim$ 181 MeV, At temperature 121 MeV, the binder cumulant suggests a crossover at $m_q^{\mathrm{\overline {MS}}}(2\, \mathrm{GeV}) \sim 3.7\, \mathrm{MeV}$, although a study of volume dependence would be important to confirm this.