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Scalar fields in the nonsymmetric Kaluza-Klein (Jordan-Thiry) theory | | M. W. Kalinowski
; | | Date: |
24 Jul 2003 | | Subject: | hep-th | | Abstract: | In this paper we construct the Nonsymmetric Jordan-Thiry Theory unifying N.G.T., the Yang-Mills’ field, the Higgs’ fields and scalar forces in a geometric manner. In this way we get masses from higher dimensions. We discuss spontaneous symmetry breaking, the Higgs’ mechanism and a mass generation in the theory. The scalar field (as in the classical Jordan-Thiry Theory) is connected to the effective gravitational constant. This field is massive and has Yukawa-type behaviour. We derive the equation of motion for a test particle from conservation laws in the hydrodynamic limit. We consider a truncation procedure for a tower of massive scalar fields using Friedrichs’ theory and an approximation procedure for the lagrangian involving Higgs’ field. The geodetic equations on the Jordan-Thiry manifold are considered with an emphasis to terms involving Higgs’ field. We consider also field equations in linear approximation. We consider a dynamics of Higgs’ field in the framework of cosmological models involving the scalar field. The scalar field plays here a role of a quintessence field. We consider phase transition in cosmological models of the second and the first order. We consider a warp factor known from some modern approaches. We consider a toy model of a time-machine. We consider a mass of a quintessence particle, various properties of a quintessence field. We calculate a speed of sound in a quintessence and fluctuations of a quintessence caused by primordial metric fluctuations. | | Source: | arXiv, hep-th/0307242 | | Services: | Forum | Review | PDF | Favorites | |
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