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) 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.
Original languageEnglish
Pages (from-to)471 - 485
Number of pages15
JournalInternational Journal of Theoretical Physics
Volume46
Issue number3
DOIs
Publication statusPublished - Mar 2007
Externally publishedYes

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All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Physics and Astronomy (miscellaneous)

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