Generalized Gauge Theories and Weinberg-Salam Model with Dirac-Kahler Fermions

Abstract

We extend previously proposed generalized gauge theory formulation of Chern-Simons type and Topological Yang-Mills type actions into Yang-Mills type actions. We formulate gauge fields and Dirac-Kahler matter fermions by all degrees of differential forms. The simplest version of the model which includes only zero and one form gauge fields accommodated with the graded Lie algebra of SU (2|1) super-group leads Weinberg-Salam model. Thus the Weinberg-Salam model formulated by noncommutative geometry is a particular example of the present formulation. The details of the formulation can be found in hep-th/0010254.