Gauge theories as a geometrical issue of a Kaluza-Klein framework
Aug, 2005
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Abstract: (arXiv)
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 , 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 , 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.- 11.15.-q
- 04.50.+h
- Kaluza-Klein theories
- electro-weak model
- gauge field theory: geometrical
- Kaluza-Klein model
- charge: conservation law
- dimension: 5
- dimension: 7
- quantum electrodynamics
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