The present paper is a natural continuation of [1, 2]. It shows that perturbation theory can be used in a Heisenberg version of the unified nonlinear theory of elementary particles. Though perturbation theory can be used, propagators which include the contributions of dipole phantom states must be employed as the convolutions. The theory then becomes renormalizable (even finite), while the vacuum spiral degeneracy is automatically removable. We use this method to evaluate the mass of the fundamental fermion (nucleon), for which a well-defined finite value, dependent on the form of the nonlinear Lagrangian, is obtained.
Department of Theoretical Physics
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