Ultraviolet regularization of light-cone Hamiltonian perturbation theory: Application to the anomalous magnetic moment of the electron (g-2) in the light-cone gauge.

An ultraviolet regularization and renormalization procedure of light-cone perturbation theory, which is suitable for a numerical application is discussed. The fourth order correction to the anomalous magnetic moment of the electron in the light-cone gauge is computed. Several regularizations of the associated light-cone gauge singularity are explored. Local counterterms are constructed to remove the quadratic light.-cone divergences from the formalism. Problems of the Discrete Light-Cone Quantization (DLCQ), beyond the one photon exchange, are also described. Submitted to Physical Review D * Supported in part by the Department of energy under contract DE-AC03-76SF00515. $ Supported in part by a grant from Studienstiftung des deutschen \!olkes. t Supported in part by a grant from Alexander van Humboldt-Stiftung.