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

Understand

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.