Study of symmetries in finite temperature $N_f=2$ QCD with M\"obius Domain Wall Fermions

TL;DR

This study investigates symmetry restoration in two-flavor QCD at finite temperature using M"obius domain-wall fermions, focusing on chiral and axial symmetries, and explores the emergence of potential higher symmetries at high temperatures.

Contribution

It provides new insights into symmetry behavior in finite temperature QCD with M"obius domain-wall fermions, including detailed analysis of chiral, axial, and potential higher symmetries.

Findings

Evidence of chiral symmetry restoration near the critical temperature.

Partial restoration of axial $U(1)_A$ symmetry observed.

Indications of possible $SU(2)_{CS}$ symmetry emergence at high temperatures.

Abstract

We report on the ongoing study of symmetry of $N_f=2$ QCD around the critical temperature. Our simulations of $N_f = 2$ QCD employ the M\"obius domain-wall fermion action with residual mass $\sim 1\mbox{MeV}$ or less, maintaining a good chiral symmetry. Using the screening masses from the two point spatial correlators we compare the mass difference between channels connected through various symmetry transformations. Our analysis focuses on restoration of the $SU(2)_L\times SU(2)_R$ as well as anomalously broken axial $U(1)_A$. We also present additional study of a potential $SU(2)_{CS}$ symmetry which may emerge at sufficiently high temperatures.