Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2005-08-31
Int.J.Mod.Phys. D14 (2005) 1195-1231
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
37 pages, no figures
Scientific paper
10.1142/S0218271805006900
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.
Cianfrani Francesco
Marrocco Andrea
Montani Giovanni
No associations
LandOfFree
Gauge theories as a geometrical issue of a Kaluza-Klein framework does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Gauge theories as a geometrical issue of a Kaluza-Klein framework, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Gauge theories as a geometrical issue of a Kaluza-Klein framework will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-116373