Author： Montani Giovanni
Publisher： Springer Publishing Company
ISSN： 0020-7748
Source： International Journal of Theoretical Physics, Vol.44, Iss.1, 2005-01, pp. : 43-52
Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.
Abstract
We geometrize a generic (abelian and non-abelian) gauge coupling within the framework of a Kaluza–Klein theory, by choosing a suitable matter-field dependence on the extra coordinates. We first extend the Nöther theorem to a multidimensional spacetime, the Cartesian product of a 4-dimensional Minkowski space and a compact homogeneous manifold (whose isometries reflect the gauge symmetry). On such a “vacuum” configuration, the extra-dimensional components of the field momentum correspond to the gauge charges. Then we analyze the structure of a Dirac algebra for a spacetime with the Kaluza–Klein restrictions. By splitting the corresponding free-field Lagrangian, we show how the gauge coupling terms arise.
Related content
Five-Dimensional General Relativity and Kaluza–Klein Theory
By Gladush V.D.
Theoretical and Mathematical Physics, Vol. 136, Iss. 3, 2003-09 ,pp. :
Access to resources
Recommend
Classical and quantum wormholes in a 5D compact Kaluza–Klein theory
By Darabi F.
Canadian Journal of Physics, Vol. 90, Iss. 5, 2012-05 ,pp. :