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) V4⊗ S1⊗ S2where isospin doublets are identified with spinors; 2) V4⊗ S1⊗ S3in 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. © Springer Science+Business Media, LLC 2007.
All Science Journal Classification (ASJC) codes
- Physics and Astronomy (miscellaneous)
Cianfrani, F., & Montani, G. (2007). Geometrization of the electro-weak model bosonic component. International Journal of Theoretical Physics, 46(3), 471 - 485. https://doi.org/10.1007/s10773-006-9090-7