QCD thermodynamics and confinement from a dynamical quasiparticle point of view

In this study it is demonstrated that a simple picture of the QCD gluon liquid emerges in the dynamical quasiparticle model that specifies the active degrees of freedom in the time-like sector and yields a potential energy density in the space-like sector. By using the time-like gluon density (or scalar gluon density) as an independent degree of freedom - instead of the temperature $T$ as a Lagrange parameter - variations of the potential energy density lead to effective mean-fields for time-like gluons and an effective gluon-gluon interaction strength at low density. The latter yields a simple dynamical picture for the gluon fusion to color neutral glueballs when approaching the phase boundary from a temperature higher than $T_c$ and paves the way for an off-shell transport theoretical description of the parton dynamics.