A general nonperturbative method for solving quantum field theories in three space and one time dimensions, discretized light-cone quantization, is outlined and applied to quantum electrodynamics. This numerical method is frame independent and can be formulated such that ultraviolet regularization is independent of the momentum-space discretization. In this paper we discuss the construction of the light-cone Fock basis, ultraviolet regularization, infrared regularization, and the renormalization techniques required for solving QED as a light-cone Hamiltonian theory.

• Received 8 March 1991

DOI:https://doi.org/10.1103/PhysRevD.44.1842