Effective Weinberg--Salam Model From Higher Dimensions

Abstract

We consider an 8--dimensional gravitational theory, which possesses a principle fiber bundle structure, with Lorentz--scalar fields coupled to the metric. One of them plays the role of a Higgs field and the other one that of a dilaton field. The effective cosmological constant is interpreted as a Higgs potential. The Yukawa couplings are introduce by hand. The extra dimensions constitute a $SU(2{)}_L\times U(1{)}_Y\times SU(2{)}_R$ group manifold. Dirac fields are coupled to the potentials derived from the metric. As result, we obtain an effective four--dimensional theory which contains all couplings of a Weinberg--Salam--Glashow theory in a curved space-time. The masses of the gauge bosons and of the first two fermion families are given by the theory.

Talk preseted at the First Mexican School on Gravitation and Mathematical Physics, in Guanajuato, Mexico, December of 1994. 10 latex pages, no figures