Equivalence of One Loop Diagrams in Covariant and Light Front QED Revisited

Abstract

We revisit the proof of equivalence of one loop expressions for fermion self-energy and vertex correction in light-front QED and Covariant QED at the Feynman diagram level and generalize, to all components, the proof of equivalence for the one loop vertex correction diagram which was presented earlier by us only for the $+$ component of ${\Lambda }^{\mu }$. We demonstrate, in the general case also, that the equivalence cannot be established without the third term in the three-term photon propagator in light cone gauge.

arXiv comment5 pages, 3 figures, Proceedings of Light Cone Conference 2017, September 2017, Mumbai, India. Published in Few Body Systems. Minor additions to previous version

References in corpus (4)

• Light-Front-Quantized QCD in Light-Cone Gauge: The Doubly Transverse Gauge Propagator
• The Electromagnetic Gauge Field Interpolation between the Instant Form and the Front Form of the Hamiltonian Dynamics
• Light-front gauge propagator reexamined
• Revisiting the equivalence of light-front and covariant QED in the light-cone gauge

Cited by in corpus (3)

• Quantum electrodynamics in the null-plane causal perturbation theory II
• Equivalence of Light-Front and Covariant Quantum Electrodynamics at One Loop Level and the form of the Gauge Boson Propagator
• Quantum electrodynamics in the null-plane causal perturbation theory