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Geometrization of the electro-weak model bosonic component

Francesco Cianfrani·Giovanni Montani
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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.

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Francesco Cianfrani, Giovanni Montani. 2006-01-13. Geometrization of the electro-weak model bosonic component. https://doi.org/10.1007/s10773-006-9090-7

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