Symmetries of meson correlators in high temperature QCD with physical $(u/d, s, c)$ domain-wall quarks

TL;DR

This study investigates meson correlators in high-temperature lattice QCD with physical quark masses, revealing symmetry restorations and emergent symmetries across a temperature range of 190-770 MeV.

Contribution

It provides the first detailed analysis of meson correlators with physical quark masses at high temperatures, highlighting symmetry behaviors and emergent symmetries in QCD.

Findings

Evidence for effective restoration of $U(1)_A$ and chiral symmetries at high temperatures.

Observation of approximate $SU(2)_{CS}$ chiral spin symmetry emergence.

Temperature-dependent behavior of meson correlators indicating symmetry patterns.

Abstract

The correlation function of meson interpolators in $N_f=2+1+1$ lattice QCD with optimal domain-wall quarks at the physical point are studied for six temperatures in the range $ T \sim$ 190-770 MeV. The meson interpolators include a complete set of Dirac bilinears, and each for six combinations of quark flavors. In this paper, we focus on the meson correlators of $u$ and $d$ quarks, and discuss their implications for the effective restoration of $U(1)_A$ and $SU(2)_L \times SU(2)_R$ chiral symmetries, as well as the emergence of the approximate $SU(2)_{CS}$ chiral spin symmetry.