Asymptotic Dynamics in Quantum Field Theory

Details Asymptotic Dynamics in Quantum Field Theory Asymptotic Dynamics in Quantum Field Theory

1999-09-08

arxiv.org/abs/hep-th/9909044v1

J.Math.Phys. 41 (2000) 4437-4451

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, 3 figures

Scientific paper

10.1063/1.533352

A crucial element of scattering theory and the LSZ reduction formula is the assumption that the coupling vanishes at large times. This is known not to hold for the theories of the Standard Model and in general such asymptotic dynamics is not well understood. We give a description of asymptotic dynamics in field theories which incorporates the important features of weak convergence and physical boundary conditions. Applications to theories with three and four point interactions are presented and the results are shown to be completely consistent with the results of perturbation theory.

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