Lattice QCD study of static quark and antiquark correlations at finite T via entanglement entropies

With the aim of clarification color correlations among quarks, we investigate correlation between a static quark and an antiquark (static $q\bar q$) below above phase transition temperature $T_c$ through entanglement entropy(EE). By quenched lattice QCD calculation on anisotropic adopting standard Wilson gauge action in Coulomb gauge, compute reduced density matrix $\rho$ defined space, entropy $S_{\rm EE}$ constructed from $\rho$. The spatial volume is $L^3 = 24^3$ temporal extents are $N_T 12,13,14,15,16,18,20$ $24$, with coupling $\beta 5.75$ renormalized anisotropy $\xi 4.0$, which corresponds to temperatures 180 370 MeV. From analysis EE}$, q$ pairs obtained as function interquark distance $R$ $T$. Below $T_c$, $R$-dependence resembles that at $T=0$: quark's gradually decreases increases due screening by in-between gluons. Above deconfinement transition, quarks found quickly dissappear. Further, effect via mass $\rho$, discuss differences properties small large R regions.