Self-coupled vector fields

By use of Dirac's quantization procedure for constrained systems, it is possible to derive the Schwinger treatment of magnetic monopoles from a Lagrangian. A generalization of this Lagrangian leads to a self-coupled vector field. The techniques used are also applied to an extended Yang-Mills Lagrangian based on Zwanziger's local Lagrangian theory of magnetic monopoles. These systems exhibit CP violation. (author)