The operator S in Fock space which describes the scattering and partic
le production processes in an external time-dependent electromagnetic
potential A can be constructed from the one-particle 5-matrix up to a
physical phase lambda[A]. In this work we determine this phase for QED
in (2 + 1) dimensions by means of causality and show that no ultravio
let divergences arise, in contrast to the usual formalism of QED(3).