Approximate degeneracy of $J=1$ spatial correlators in high temperature QCD

Abstract

We study spatial isovector meson correlators in $N_f=2$ QCD with dynamical domain-wall fermions on $32^3\times 8$ lattices at temperatures $T=220-380$ MeV. We measure the correlators of spin-one ($J=1$) operators including vector, axial-vector, tensor and axial-tensor. Restoration of chiral $U(1{)}_A$ and $SU(2{)}_L\times SU(2{)}_R$ symmetries of QCD implies degeneracies in vector--axial-vector ($SU(2{)}_L\times SU(2{)}_R$) and tensor--axial-tensor ($U(1{)}_A$) pairs, which are indeed observed at temperatures above $T_c$. Moreover, we observe an approximate degeneracy of all $J=1$ correlators with increasing temperature. This approximate degeneracy suggests emergent $SU(2{)}_{CS}$ and $SU(4)$ symmeries at high temperatures, that mix left- and right-handed quarks.

This revised version contains all corrections that will appear in the forthcoming erratum