A Formalism to Analyze the Spectrum of Brane World Scenarios

Details A Formalism to Analyze the Spectrum of Brane World Scenarios A Formalism to Analyze the Spectrum of Brane World Scenarios

2002-06-03

arxiv.org/abs/hep-th/0206016v2

Nucl.Phys. B645 (2002) 188-216

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 31 pages. Final version appeared in Nucl. Phys

Scientific paper

10.1016/S0550-3213(02)00828-3

In this paper we develop a formalism to analyze the spectrum of small perturbations about arbitrary solutions of Einstein, Yang-Mills and scalar systems. We consider a general system of gravitational, gauge and scalar fields in a $D-$dimensional space-time and give the bilinear action for the fluctuations of the fields in the system around an arbitrary solution of the classical field equations. We then consider warped geometries, popular in brane world scenarios, and use the light cone gauge to separate the bilinear action into a totally decoupled spin-two, -one and -zero fluctuations. We apply our general scheme to several examples and discuss in particular localization of abelian and non-abelian gauge fields of the standard model to branes generated by scalar fields. We show in particular that the Nielsen-Olsen string solution gives rise to a normalizable localized spin-1 field in any number of dimensions.

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