Quantum corrections to Boltzmann equations

Because of IR (pinch) singularities a resummation is necessary in non-equilibrium field theories, that can be performed by using Kadanoff--Baym equations. Taking Landau prescription correctly into account, Kadanoff--Baym equations reduce to Boltzmann equations only in a restricted kinematical range; in other cases a new equation (the former constraint equation) has to be considered. In relaxation time approximation this new equation results in the shifting and smearing of multiparticle thresholds.