Derezinski J., Gerard C.
Scattering theory of infrared divergent Pauli-Fierz Hamiltonians
(142K, LATex2e)

ABSTRACT.  We consider in this paper the scattering theory of infrared divergent
massless Pauli-Fierz Hamiltonians. We show that the CCR
representations obtained from the asymptotic field contain so-called
{\em coherent sectors} describing an infinite number of asymptotically
free bosons. We formulate some conjectures leading to  mathematically
well defined notion of {\em inclusive and non-inclusive scattering
cross-sections} for Pauli-Fierz Hamiltonians. Finally we give a general
description of the scattering theory of QFT models in the presence of
coherent sectors for the asymptotic CCR representations.