A Heavy Quark-Antiquark Pair in Hot QCD

Abstract

Thermodynamics of a heavy quark-antiquark pair in SU(3)-QCD is studied both below and above the deconfinement critical temperature $T_c$. In the quenched case, a model of the string passing through heavy valence gluons yields a correct estimate of $T_c$ and the critical behavior of the string tension below $T_c$. For two light flavors, entropy and internal energy below $T_c$ can be obtained from the partition function of heavy-light mesons and baryons. To calculate the free energy of the system above $T_c$, we apply second-order perturbation theory in the interaction of the quark-gluon plasma constituents with the static quark-antiquark pair. The results for the entropy and internal energy, obtained both below and above $T_c$, are compared with recent lattice data.

Comments: 27 pages, 16 figures; minor comments and references are added; version to appear in Nuclear Physics A