Dynamical cluster properties in the quantum statistical mechanics of phase transitions

Abstract

Investigates the influence of spontaneous symmetry breaking on the dynamical cluster properties of correlation functions of a quantum statistical ensemble, that is clustering with respect to time and space-time. While the impact of phase transitions on pure space-like clustering, i.e. the static results, is well known, less seems to be known about the dynamical behaviour of response functions and susceptibilities. Precise statements are made which show that, contrary to the static case, the decay properties depend sensitively on the type of Goldstone excitation.