The Causal Phase in $QE{D}_3$

Abstract

The operator $\mathbf{S}$ in Fock space which describes the scattering and particle production processes in an external time-dependent electromagnetic potential $A$ can be constructed from the one-particle S-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 ultraviolet divergences arise, in contrast to the usual formalism of $QED$.

LaTex, 11 pages, no figures

Cited by in corpus (2)

• On valley asymmetry in a topological interaction for quasi-particles
• Planar generalized electrodynamics for one-loop amplitude in the Heisenberg picture