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

TL;DR

This paper demonstrates that a Lorentz-violating extension of QED and its dual model produce equivalent electron-electron scattering results at tree-level, confirming their quantum equivalence through explicit amplitude calculations.

Contribution

It establishes the tree-level quantum equivalence between a Lorentz-violating extended QED and its dual model using the Noether dualization method.

Findings

Physical equivalence confirmed at tree-level.

Cross section calculated to second order in Lorentz-violating parameter.

Dual models produce identical scattering amplitudes.

Abstract

S-matrix amplitudes for the electron-electron scattering are calculated in order to verify the quantum equivalence of dual models. We used an extended Quantum Electrodynamics with CPT-even Lorentz-violating kinetic and mass terms, which was used in a process of gauge embedding, known as Noether dualizationn method (NDM), in order to generate its gauge-invariant dual model. The physical equivalence was established at tree-level and the cross section was calculated to second order in the Lorentz-violating parameter.