Abstract
An extension of the Standard Model based on the Randall-Sundrum model with two branes is considered. The size of the extra dimension is stabilized by a fivedimensional two-component complex scalar field, the bulk Higgs field. All the matter fields, which are supposed to be localized on the brane with negative tension, acquire their masses due to the interaction with the boundary value of this field. The gauge invariance of the theory demands that the electroweak gauge fields also propagate in the bulk. The equations of motion for the background fields and their fluctuations against a background solution are found. The second variation Lagrangian is derived. The interactions of the bulk Higgs field with the multidimensional gauge and fermion fields are studied and a possible background solution is obtained.
Highlights
Models with extra space-time dimensions are widely discussed in theoretical physics in these latter days
The extra dimension forms the orbifold S 1/Z2 and the branes are located at its fixed points
The idea of this report is to stabilize the size of extra dimension by a two-component complex scalar field propagating in the bulk and carrying the same representation of the gauge group S U(2) × U(1) as the usual Higgs field
Summary
Models with extra space-time dimensions are widely discussed in theoretical physics in these latter days. It is a 5D scalar field with a bulk potential and additional potentials on the branes This allows one to stabilize the extra dimension size, giving a mass to the radion. The idea of this report is to stabilize the size of extra dimension by a two-component complex scalar field propagating in the bulk and carrying the same representation of the gauge group S U(2) × U(1) as the usual Higgs field. It will act as the Higgs field on the brane, where our world is supposed to be located, providing spontaneous symmetry breaking. They do not affect the vacuum solution for the metric and the Higgs field
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