Quantum electrodynamics in the null-plane causal perturbation theory

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 Møller'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.

arXiv commentTo be published in Phys. Rev. D

References in corpus (10)

• Light-Front Quantum Chromodynamics: A framework for the analysis of hadron physics
• Causal approach for the electron-positron scattering in Generalized Quantum Electrodynamics
• Duffin-Kemmer-Petiau Theory in the Causal Approach
• Light-Front-Quantized QCD in Light-Cone Gauge: The Doubly Transverse Gauge Propagator
• Normalizability analysis of the generalized quantum electrodynamics from the causal point of view
• Light-front gauge propagator reexamined
• Equivalence of One Loop Diagrams in Covariant and Light Front QED Revisited
• Radiative corrections in the Yukawa model within the null-plane causal perturbation theory framework
• Equivalence of Light-Front and Covariant Quantum Electrodynamics at One Loop Level and the form of the Gauge Boson Propagator
• $SQE{D}_4$ and $QE{D}_4$ on the null-plane

Cited by in corpus (1)

• Quantum electrodynamics in the null-plane causal perturbation theory II