Tree-level equivalence between a Lorentz-violating extension of QED and its dual model in electron–electron scattering

Abstract

S-matrix amplitudes for the electron-electron scattering are calculated in order to verify the physical equivalence between two Lorentz-breaking dual models. We begin with an extended Quantum Electrodynamics which incorporates CPT-even Lorentz-violating kinetic and mass terms. Then, in a process of gauge embedding, its gauge-invariant dual model is obtained. The physical equivalence of the two models is established at tree-level in the electron-electron scattering and the unpolarized cross section is calculated up to second order in the Lorentz-violating parameter.