Lectures on The Non-Linear spinor theory of Elementary particles [MatSciRep:16]

Abstract

This series of lectures are devoted to the nonlinear spinor theory of elementary particles which was proposed and investigated in its earliest form by Heisenberg. This course of lectures consists of five parts. General view of the theory is discussed in part I. The concrete formulation of the theory which is concerned with the selection of the fundamental field equation on the basis of group theoretical considerations are discussed in part II. Part III is concerned with approximation methods, which are applicable to theories of the non-linear type to calculate physically interesting quantities, in particular masses and coupling constants of elementary particles. Part IV discusses the question of compatibility of the indefinite metric in Hilbert Space with the quantum mechanical probability interpretation. Special models like the Lee model is investigated from this point of view. Part V utilizes the material of the last parts to investigate the contraction function of the spinor field, and to calculate approximately the masses of the simplest non-strange fermions and bosons and their effective interactions.