2019 Impact factor 4.389
Particles and Fields
Eur. Phys. J. C 8, 517-522
DOI 10.1007/s100529901095

Interpretation and resolution of pinch singularities in non-equilibrium quantum field theory

C. Greiner - S. Leupold

Institut für Theoretische Physik, Universität Giessen, D-35392 Giessen, Germany

Received: 28 September 1998 / Published online: 11 March 1999

Ill-defined pinch singularities arising in a perturbative expansion in out of equilibrium quantum field theory have a natural analogue to standard scattering theory. We explicitly demonstrate that the occurrence of such terms is directly related to Fermi's golden rule known from elementary scattering theory and is thus of no mystery. We further argue that within the process of thermalization of a plasma one has to resum such contributions to all orders as the process itself is of non-perturbative nature. In this way the resummed propagators obtain a finite width. Within the Markov approximation of kinetic theory the actual phase space distribution at a given time of the evolution enters explicitly.

Copyright Springer-Verlag