Self Energy Correction in Light Front QED And Coherent State Basis

TL;DR

This paper demonstrates that using a coherent state basis in Light Front QED cancels infrared divergences in electron mass renormalization up to certain orders, improving the understanding of infrared behavior in quantum electrodynamics.

Contribution

It introduces the use of a coherent state basis for calculating fermion self energy in Light Front QED, showing divergence cancellation not achieved with the Fock basis.

Findings

Infrared divergences cancel up to O(e^4) in Light Front gauge.

Infrared divergences cancel up to O(e^2) in Feynman gauge.

Coherent state basis effectively manages infrared divergences.

Abstract

We discuss the calculation of fermion self energy correction in Light Front QED using a coherent state basis. We show that if one uses coherent state basis instead of fock basis to calculate the transition matrix elements, the true infrared divergences in electron mass renormalization $\delta m^2$ get canceled up to $O(e^4)$ in Light Front gauge. We have also verified this cancellation in Feynman gauge up to $O(e^2)$.