Quantum electrodynamics in the null-plane causal perturbation theory
High Energy Physics - Theory
2022-08-17 v1
Abstract
We study quantum electrodynamics (QED) in the light-front dynamical form by using null-plane causal perturbation theory. We establish the equivalence with instant dynamics for the scattering processes, whose normalization allows to construct the instantaneous terms of the usual null-plane QED Lagrangian density. Then we study vacuum polarization and normalize it by studying its insertions into M{\o}ller's scattering process, obtaining the complete photon's propagator, which turns to be equivalent to the one of instant dynamics only when gauge invariance is taken into account.
Cite
@article{arxiv.2207.11626,
title = {Quantum electrodynamics in the null-plane causal perturbation theory},
author = {O. A. Acevedo and B. M. Pimentel},
journal= {arXiv preprint arXiv:2207.11626},
year = {2022}
}
Comments
To be published in Phys. Rev. D