Regge Poles in Quantum Electrodynamics with Massive Photons

Abstract

Starting from the Lagrangian theory of quantum electrodynamics with massive photons, we find that the lowest order radiative corrections to the fourth order "box" diagram of the Compton scattering amplitude contribute terms proportional to ${\left(\ln t\right)}^2$ for large $t$, violating the Regge behavior if uncanceled. The sixth-order ladder diagram and two others obtained from it by interchanging one of the external photon vertices with a virtual photon vertex are re-evaluated. It is found that the unwanted terms contributed by all these diagrams exactly cancel, proving that in this theory, the fermion lies on a Regge trajectory, up to the sixth-order perturbation.