Classical V-A theory and non-conservation of the dynamical parity

The V-A theory with and without cut-off is studied. The existence of finite-energy global solutions and scattered solutions is proved, for certain regularizations. The scattering operator turns out to be C^∞. Moreover, finite-charge global “solutions” are defined. The dynamical parity operator is discussed. Finally some remarks about the continuous spin modified V-A theory are made.