2003 Prépublication d'Orsay numéro 2003-48 (14/11/2003)



SCATTERING THEORY OF INFRARED DIVERGENT PAULI-FIERZ HAMILTONIANS.

DEREZINSKI, J. - Warsaw University, Hoza 74, 00-682 Warszawa Poland.
GERARD, Christian - Analyse Numérique et E.D.P., Université Paris-Sud, Bât. 425, 91405 Orsay cedex



Mots Clés : -

Classification MSC : 81T08;82B21;82B31;46L55



Resumé :

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 coherent sectors describing an infinite number of asymptotically free bosons. We formulate some conjectures leading to mathematically well defined notion of 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.

Contact : Christian.Gérard@math.u-psud.fr