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Gauge theories as a geometrical issue of a Kaluza-Klein framework | | F. Cianfrani
; A. Marrocco
; G. Montani
; | | Date: |
31 Aug 2005 | | Journal: | Int.J.Mod.Phys. D14 (2005) 1195-1231 | | Subject: | gr-qc | | Abstract: | We present a geometrical unification theory in a Kaluza-Klein approach that achieve the geometrization of a generic gauge theory bosonic component. We show how it is possible to derive the gauge charge conservation from the invariance of the model under extra-dimensional translations and to geometrize gauge connections for spinors, thus we can introduce the matter just by free spinorial fields. Then, we present the applications to i)a pentadimensional manifold $V^{4}otimes S^{1}$, so reproducing the original Kaluza-Klein theory, unless some extensions related to the rule of the scalar field contained in the metric and the introduction of matter by spinors with a phase dependence from the fifth coordinate, ii)a seven-dimensional manifold $V^{4}otimes S^{1}otimes S^{2}$, in which we geometrize the electro-weak model by introducing two spinors for any leptonic family and quark generation and a scalar field with two components with opposite hypercharge, responsible of spontaneous symmetry breaking. | | Source: | arXiv, gr-qc/0508126 | | Services: | Forum | Review | PDF | Favorites | |
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