Unitarization in Nonlinear Spinor Field Quantum Theory

Abstract

Abstract Heisenberg performed a dipole ghost regularization of the Lee-model and a subsequent uni-tarization of the corresponding state space. If this method is transferred to the relativistic non-linear spinor field model, insoluble difficulties appear as long as no explicit state representations are used. In preceding papers such state representations for the spinor field have been derived and in the present paper it is demonstrated how they can be successfully used to perform the relativistic analogon to Heisenberg's Lee-model unitarization. As the state representations have to be derived by construction, the method is demonstrated for the two particle fermion sector which is sufficiently well-known.