Fermion Self Energy Correction in Light-Front QED using Coherent State Basis

TL;DR

This paper investigates infrared divergence cancellations in light-front QED's lepton mass renormalization using coherent states, demonstrating consistency across gauges with perturbative methods up to fourth order.

Contribution

It extends previous IR divergence cancellation results to Feynman gauge in light-front QED using coherent state basis and time-ordered perturbation theory.

Findings

IR divergences cancel up to O(e^4) in Feynman gauge

Coherent state basis effective for IR divergence management

Results consistent with earlier gauge choices

Abstract

We discuss IR divergences in lepton mass renormalization in Light-Front Quantum Electrodynamics (LFQED) in Feynman gauge. We consider LFQED with Pauli-Villars fields and using old-fashioned time ordered perturbation theory (TOPT), we show that our earlier result regarding cancellation of true IR divergences upto $O(e^4)$ in coherent state basis holds in Feynman gauge also.