Classical strongly coupled quark-gluon plasma. III. The free energy

We explore further the classical quark-gluon plasma using methods from classical liquids. The partition function of an ensemble of SU(N_c) colored charge spheres is constructed. We analyze it using a cumulant expansion (low density) and a loop expansion (high temperature) after resumming the Debye screening effects. The pertinent free energies are derived in both limits and compared with recent molecular dynamics results.