  In this lecture we review recent progress in various aspects of
non-equilibrium QFT with respect to relativistic heavy ion collisions. As a
first and rather general study we summarize our (numerical) investigations for
a dissipative quantum time evolution of $\phi^4$-field theory for a spatially
homogeneous system in 2+1 space-time dimensions on the basis of the
Kadanoff-Baym equations. The initial conditions can be chosen arbitrarily and
far from equilibrium. The calculations demonstrate how thermalization and
chemical equilibration is achieved ab initio from the underlying QFT. As a
possible candidate for a non-equilibrium phase transition phenomena we then
adress the stochastic formation of disoriented chiral condensates. Finally we
elaborate on a new 3+1 dimensional Monte Carlo parton cascade solving kinetic
Boltzmann processes including inelastic multiplication processes (gg<->ggg) in
an unified manner, where the back reaction channel is treated for the first
time fully consistently.
