Two mechanisms for the elimination of pinch singularities in out of equilibrium thermal field theories

We analyze ill-defined pinch singularities characteristic of out of equilibrium thermal field theories. We identify two mechanisms that eliminate pinching even at the single self-energy insertion approximation to the propagator: the first is based on the vanishing of phase space at the singular point (threshold effect). It is effective in QED with a massive electron and a massless photon. In massless QCD, this mechanism fails, but the pinches cancel owing to the second mechanism, i.e., owing to the spinor or tensor structure of the single self-energy insertion contribution to the propagator. The constraints imposed on distribution functions are very reasonable.