Symmetries in High-Temperature Lattice QCD with (u, d, s, c, b) Optimal Domain-Wall Quarks

We investigate the spatial z-correlators of meson operators in Nf=2+1+1+1 lattice QCD with optimal domain-wall quarks across eight temperatures ranging from 325 to 3250 MeV. The meson operators include a complete set of Dirac bilinears for ten flavor combinations. Our findings reveal a hierarchical restoration of chiral symmetry in QCD with (u,d,s,c,b) quarks, progressing sequentially from SU(2)L×SU(2)R×U(1)A to SU(3)L×SU(3)R×U(1)A, then to SU(4)L×SU(4)R×U(1)A, and finally to SU(5)L×SU(5)R×U(1)A as the temperature increases. Additionally, we explore the emergence of the SU(2)CS chiral-spin symmetry and compare the temperature windows for all flavor combinations. Our results indicate that the temperature windows for the emergent SU(2)CS symmetry are primarily dominated by the u¯b and s¯b sectors.