Научно-исследовательский институт ядерной физики имени Д.В. Скобельцына
Московского государственного университета имени М.В. Ломоносова

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 1 TeV, the radion mass
of the order of 100 GeV, the inverse size of the extra dimension
being 1 TeV. In this case the inverse coupling of the radion to
matter on the negative tension brane is of the order of 50 TeV.