Asymptotic completeness in quantum field theory: translation invariant Nelson type models restricted to the vacuum and one-particle sectors

DOI10.1007/s11005-010-0445-xzbMath1209.81149arXiv1503.02166OpenAlexW2037805876MaRDI QIDQ631470

Christian Gérard, Morten Grud Rasmussen, Jacob Schach Møller

Publication date: 14 March 2011

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.02166

zbMATH Keywords

quantum field theoryasymptotic completenesstranslation invariancetime-dependent scattering theory

Mathematics Subject Classification ID

Model quantum field theories (81T10) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Axiomatic quantum field theory; operator algebras (81T05) Scattering theory of linear operators (47A40) Dispersion theory, dispersion relations arising in quantum theory (81U30) Stochastic quantization (81S20)

Related Items (7)

Dynamics and scattering of a massless particle ⋮ Asymptotic completeness for infraparticles in two-dimensional conformal field theory ⋮ One-boson scattering processes in the massive spin-boson model ⋮ The translation invariant massive Nelson model. III: asymptotic completeness below the two-boson threshold ⋮ Cherenkov radiation with massive bosons and quantum friction ⋮ The translation invariant massive Nelson model: II. The continuous spectrum below the two-Boson threshold ⋮ Semiclassical analysis of quantum asymptotic fields in the Yukawa theory

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