Abstract
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 discrete light-cone quantization (DLCQ), beyond one-photon exchange, are also described.