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

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Cited by in corpus (11)

• Nonperturbative light-front Hamiltonian methods
• Fermion Self Energy Correction in Light-Front QED using Coherent State Basis
• Cancellation of Infrared divergences to all orders in LFQED
• The Epstein-Glaser causal approach to the Light-Front QED${}_4$. II: Vacuum Polarization tensor
• High Resolution Nonperturbative Light-Front Simulations of the True Muonium Atom
• Cancellation of Infrared Divergences in $e^{+}{e}^{-}\to q\bar{q}g$ in Light Front Coherent State Formalism
• Infrared Divergences in $e^{+}{e}^{-}\to 2jets$ in the Light Front Coherent State Formalism
• Scalar theories and symmetry breaking in the light-front coupled-cluster method
• Infra-red divergences in Light Front Field Theory and Coherent State Formalism
• Self Energy Correction in Light Front QED And Coherent State Basis
• Application of Coherent State Approach for the cancellation of Infrared divergences to all orders in LFQED