One Particle (improper) states and Scattering States in Nelson's Massless Model

Abstract

In the one nucleon sector of Nelson's massless model with an ultraviolet cut-off and no infrared regularization, one particle improper states are constructed and a scattering theory is developed both for the massless scalar field and for the non-relativistic particle.

121 pages, 1 Postscript figure

Cited by in corpus (7)

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• Ground State Properties in the Quasi-Classical Regime
• Absence of Ground States in the Renormalized Massless Translation-Invariant Nelson Model
• Infrared Catastrophe for Nelson's Model
• Asymptotic Completeness for Compton Scattering
• Existence and non existence of a ground state for the massless Nelson model under binding condition
• Characterization of Infrared Catastrophe by The Carleman Operator and Its Singularity