Generalized non-Abelian gauge fields—A classical approach

Summary

Study of a local non-Abelian gauge theory with generalized gauge connections has been undertaken and its dual structure has been analysed in view of its similarity with the general two-potential description of monopoles and dyons. The transformation properties of the generalized connections have been shown to induce the torsion-like properties in a covariant way. Deriving the associated field strengths, a Lagrangian formulation has been developed and the field equations and the generalized energy-momentum tensor have been calculated in a dual dyonic form. Such formulation associated with the generalized fields has also been extended to the standardSU(2)⊗U(1) gauge group and the spontaneous symmetry breaking has been investigated. Deriving the vacuum screening currents and the coupled differential equations among the components of generalized gauge fields and performing the proper mass diagonalization in different quantum planes, the full bosonic spectrum of the generalized theory has been obtained which is shown to reproduce the results of the standard electroweak model along with some additional gauge bosons. Using such additional gauge structure of the generalized gauge theory, the possibility of the construction of a tetrad-type structure from pure gauge theory has also been discussed to incorporate gravity in the model.