INFRARED DYNAMICS IN (2+1)DIMENSIONS

In this work we study the asymptotic behavior of (2+1)-dimensional qua ntum electrodynamics in the infrared region. We show that an appropria te redefinition of the fermion current operator leads to an asymptotic evolution operator that contains a divergent Coulomb phase factor and a contribution from the electromagnetic field at large distances, fac tored from the evolution operator for free fields, and we conclude tha t the modified scattering operator maps two spaces of coherent states of the electromagnetic field, as in the Kulish-Faddeev model for QED ( quantum electrodynamics) in four space-time dimensions.