A first nonperturbative calculation in light-front QED for an arbitrary covariant gauge

Abstract

This work is the first check of gauge invariance for nonperturbative calculations in light-front QED. To quantize QED in an arbitrary covariant gauge, we use a light-front analog of the equal-time Stueckelberg quantization. Combined with a Pauli-Villars regularization, where massive, negative-metric photons and fermions are included in the Lagrangian, we are then able to construct the light-front QED Hamiltonian and the associated mass eigenvalue problem in a Fock-space representation. The formalism is applied to the dressed-electron state, with a Fock-space truncation to include at most one photon. From this eigenstate, we compute the anomalous magnetic moment. The result is found to be gauge independent, to an order in $\alpha$ consistent with the truncation.

22 pages, 4 figures, RevTeX 4.1; minor additions and corrections

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• Infra-red Divergences in Light-Front QED and Coherent State Basis
• Renormalized Light Front Hamiltonian in the Pauli-Villars Regularization
• Fermion Self Energy Correction in Light-Front QED using Coherent State Basis
• Nonperturbative light-front effective potential for static sources in quenched scalar Yukawa theory
• Pauli-Villars regularization of non-Abelian gauge theories
• Application of a light-front coupled cluster method
• Infra-red divergences in Light Front Field Theory and Coherent State Formalism
• Application of a light-front coupled-cluster method to quantum electrodynamics
• Self Energy Correction in Light Front QED And Coherent State Basis
• A light-front coupled cluster method