The scattering matrices of field theories formulated in the light-front quantization of the preceding paper are studied. Reduction formulas for scalar and Dirac particles are derived. The scattering matrices in this new formulation are shown to give the same predictions as in the equal-time formulation to all orders in perturbations. Second-order renormalization is carried out and it gives well-known results. New Feynman rules of the perturbation theory are given and their peculiarities are discussed.

• Received 20 March 1972

DOI:https://doi.org/10.1103/PhysRevD.7.1147