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Zbl 0973.81068
Horan, Robin; Lavelle, Martin; McMullan, David
Asymptotic dynamics in quantum field theory. (English)
[J] J. Math. Phys. 41, No.7, 4437-4451 (2000). ISSN 0022-2488; ISSN 1089-7658/e

Summary: 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.

MSC 2000:: *81T08 Constructive quantum field theory
81T25 Quantum field theory on lattices
81V10 Electromagnetic interaction
81U20 S-matrix theory, etc.

Keywords: scattering theory; LSZ reduction formula; Standard Model; weak convergence; physical boundary conditions; three and four point interactions; perturbation theory

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Zentralblatt MATH Berlin [Germany]