Zied Ammari
Asymptotic completeness for a renormalized non-relativistic Hamiltonian in quantum field theory: the Nelson model.
(749K, Postscript)

ABSTRACT.   Scattering theory for the Nelson model is studied. We show Rosen 
 estimates and we prove the existence of a ground state for the 
 Nelson Hamiltonian. Also we prove that it has a locally finite 
 pure point spectrum outside its thresholds. We study the 
 asymptotic fields and the existence of the wave operators. 
 Finally we show asymptotic completeness for the Nelson Hamiltonian.