On the Kaluza-klein geometrization of the electroweak model within a gauge theory of the five-dimensional Lorentz group

Orchidea Maria Lecian, Giovanni Montani

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The geometrization of the Electroweak Model is achieved in a five-dimensional Riemann-Cartan framework. Matter spinorial fields are extended to 5 dimensions by the choice of a proper dependence on the extracoordinate and of a normalization factor. U(1) weak hypercharge gauge fields are obtained from a Kaluza-Klein scheme, while the tetradic projections of the extradimensional contortion fields are interpreted as SU(2) weak isospin gauge fields. SU(2) generators are derived by the identification of the weak isospin current to the extradimensional current term in the Lagrangian density of the local Lorentz group. The geometrized U(1) and SU(2) groups will provide the proper transformation laws for bosonic and spinorial fields. Spin connections will be found to be purely Riemannian. © World Scientific Publishing Company.
Original languageEnglish
Pages (from-to)717 - 736
Number of pages20
JournalInternational Journal of Modern Physics D
Issue number5
Publication statusPublished - May 2006
Externally publishedYes


All Science Journal Classification (ASJC) codes

  • Mathematical Physics
  • Astronomy and Astrophysics
  • Space and Planetary Science

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