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

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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33 pages, LaTeX

Scientific paper

10.1142/S0217751X01004438

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-K\"ahler 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 $SU(2|1)$ supergroup leads Weinberg-Salam model. Thus the Weinberg-Salam model formulated by noncommutative geometry is a particular example of the present formulation.

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