Application of Coherent State Approach for the cancellation of Infrared divergences to all orders in LFQED

TL;DR

This paper demonstrates that using a coherent state basis in Light Front QED effectively cancels infrared divergences at all orders, improving the theoretical consistency of calculations.

Contribution

It provides an all-order proof that coherent states eliminate IR divergences in LFQED, advancing the understanding of divergence cancellation methods.

Findings

IR divergences in fermion self energy are canceled to all orders

Coherent state basis replaces Fock basis for divergence cancellation

Method improves theoretical consistency in LFQED calculations

Abstract

We sketch an all order proof of cancellation of infrared (IR) divergences in Light Front Quantum Electrodynamics (LFQED) using a coherent state formalism. In this talk, it has been shown that the true IR divergences in fermion self energy are eliminated to all orders in a light-front time-ordered perturbative calculation if one uses coherent state basis instead of the usual Fock basis to calculate the Hamiltonian matrix elements.