Functional Quantum Theory of the Nonlinear Spinorfield as a Lepton-Hadron Model with Quark-Confinement. II

Abstract

Abstract The nonlinear spinorfield with Heisenberg's dipole regularization is interpreted as a lepton-quark system. In Section 1, a nonlinear spinorfield equation for two lepton-quark generations is derived by physical arguments and the Heisenberg dipole regularization is formulated for this model. In Section 2, corresponding dynamical equations for local fermion and local boson states are deduced by means of functional quantum theory and their properties are discussed. In Section 3, with this formulation the lowest order »S'-matrix of elastic lepton-lepton scattering is calculated and is shown to be identical with the results of the corresponding process in quantum electrodynamics resp. weak interactions. The coupling of the local bosons to local fermions is universal, i.e. independent of special lepton or quark representations. Numerical calculations of local boson masses and coupling constants will be given in subsequent papers.