Fermion fields in the (non)symmetric Kaluza–Klein theory

Abstract

The paper is devoted to the unification of fermions within nonsymmetric Kaluza–Klein theories. We obtain a Lagrangian for fermions in non-Abelian Kaluza–Klein theory and non-Abelian Kaluza–Klein theory with spontaneous symmetry breaking and Higgs’ mechanism. A Lagrangian for fermions for geometrized bosonic part of GSW (Glashow–Salam–Weinberg) model in our approach has been derived. Yukawa-type terms and mass terms coming from higher dimensions have been obtained. In the paper, 1/2-spin fields and 3/2-spin fields are considered.