Electron Anomalous Magnetic Moment in Basis Light-Front Quantization   Approach
  We apply the Basis Light-Front Quantization (BLFQ) approach to the Hamiltonian field theory of Quantum Electrodynamics (QED) in free space. We solve for the mass eigenstates corresponding to an electron interacting with a single photon in light-front gauge. Based on the resulting non-perturbative ground state light-front amplitude we evaluate the electron anomalous magnetic moment. The numerical results from extrapolating to the infinite basis limit reproduce the perturbative Schwinger result with relative deviation less than 0.6%. We report significant improvements over previous works including the development of analytic methods for evaluating the vertex matrix elements of QED. 
Xingbo Zhao, Heli Honkanen, Pieter Maris, James P. Vary, Stanley J.   Brodsky
hep-ph nucl-th