Geometrization of the electro-weak model bosonic component

Abstract

In this work we develop a geometrical unification theory for gravity and the electro-weak model in a Kaluza-Klein approach; in particular, from the curvature dimensional reduction Einstein-Yang-Mills action is obtained. We consider two possible space-time manifolds: 1)$V^4\otimes S^1\otimes S^2$ where isospin doublets are identified with spinors; 2) $V^4\otimes S^1\otimes S^3$ in which both quarks and leptons doublets can be recast into the same spinor, such that the equal number of quark generations and leptonic families is explained. Finally a self-interacting complex scalar field is introduced to reproduce the spontaneous symmetry breaking mechanism; in this respect, at the end we get an Higgs fields whose two components have got opposite hypercharges.

15 pages, no figures, to appear on Int. Jour. of Theor. Phys

References in corpus (4)

• An Alternative to Compactification
• Gauge theories as a geometrical issue of a Kaluza-Klein framework
• Geometrization of the Gauge Connection within a Kaluza-Klein Theory
• Non Abelian gauge symmetries induced by the unobservability of extra-dimensions in a Kaluza-Klein approach

Cited by in corpus (1)

• Low-energy sector of 8-dimensional General Relativity: Electro-Weak model and neutrino mass