HIGGS AS GAUGE-FIELDS ON DISCRETE-GROUPS AND STANDARD MODELS FOR ELECTROWEAK AND ELECTROWEAK-STRONG INTERACTIONS

We complete the construction of the gauge theory on discrete groups coupled to fermions in the spirit of non-commutative geometry. We show that a simple Higgs field is such a gauge field with respect to Z2-gauge symmetry over M4 and the Yukawa coupling between Higgs and fermions is automatically introduced via minimum coupling principle. The Z2-symmetry is taken to be THETA = {e, r = (CPT)2}, a sub-symmetry of the CPT transformations. The Weinberg-Salam model for the electroweak interaction as well as the Standard Model for the electroweak-strong interaction are reformulated in detail.