Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-11-18
Mod.Phys.Lett.A21:1431-1449,2006
Physics
High Energy Physics
High Energy Physics - Theory
17 pages, LaTeX, corrected typos, amended the normalization constants of the scalar modes and their coupling constants to matt
Scientific paper
10.1142/S0217732306020792
We consider brane world models with interbrane separation stabilized by the Goldberger-Wise scalar field. For arbitrary background, or vacuum configurations of the gravitational and scalar fields in such models, we construct the second variation Lagrangian, study its gauge invariance, find the corresponding equations of motion and decouple them in a suitable gauge. We also derive an effective four-dimensional Lagrangian for such models, which describes the massless graviton, a tower of massive gravitons and a tower of massive scalars. It is shown that for a special choice of the background solution the masses of the graviton excitations may be of the order of a few TeV, the radion mass of the order of 100 GeV, the inverse size of the extra dimension being tens of GeV. In this case the coupling of the radion to matter on the negative tension brane is approximately the same as in the unstabilized model with the same values of the fundamental five-dimensional energy scale and the interbrane distance.
Boos Edward E.
Mikhailov Yuri S.
Smolyakov Mikhail N.
Volobuev Igor P.
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