Infra-red Divergences in Light-Front QED and Coherent State Basis

Abstract

We present a next to leading order calculation of electron mass renormalization in Light-Front Quantum Electrodynamics (LFQED) using old-fashioned time ordered perturbation theory (TOPT). We show that the true infrared divergences in $\delta m^2$ get canceled up to $O(e^4)$ if one uses coherent state basis instead of fock basis to calculate the transition matrix elements.

44 pages,11 figures

References in corpus (2)

• Nonperturbative Pauli-Villars regularization of vacuum polarization in light-front QED
• Restoration of the chiral limit in Pauli-Villars-regulated light-front QED