Sur les théories quantiques des champs associées à des modèles simples d'équations d'ondes non linéaires

Two models of nonlinear wave equations are studied. They give representations for scalar or vectorial particles with scalar or vectorial self-fields. Hamiltonian representations of classic field theories associated with the nonlinear wave equations are built. New quantum field theories are proposed for the introduced models. They are generalizations of the usual quantum field theory but the masses are quantized in parallelism with the amplitudes.