Quantum kinetic theories of heavy-ion collisions

In this paper the authors discuss the nature of their self-consistent scheme for kinetic theories applied to the simplest possible quantum mechanical problem, i.e. a single particle in a local field V(chi). This simple problem allows the clearest explanation of their general truncation scheme. In addition to this problem, the authors discuss generalizations to the many-body quantum mechanical system and relate their findings to possible extensions of the Uehling-Uhlenbeck model. The connection with, and extensions of the classical hydrodynamic limit are also briefly mentioned here. For the relativistic problem they discuss the scalar plasma and the Q.E.D. plasma (abelian interactions) in the mean-field limit. For the quark-gluon plasma they briefly show more recent work on the form of quantum hydrodynamic flow for non-abelian interactions. They note that the concept of local thermal equilibrium is not required in their approach