Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2002-04-17
Phys.Lett.B538:146-158,2002
Physics
High Energy Physics
High Energy Physics - Phenomenology
16 pages, latex, two references added, version to appear in Physics Letters B
Scientific paper
10.1016/S0370-2693(02)01959-7
We derive a general formalism for constructing a four-dimensional effective action for the radion field in 5 dimensions, taking into account the possible dependence of the scale factor on the internal coordinate. First and second variations of the action with respect to the size of the extra dimension reveals two types of algebraic constraints on the combination of brane and bulk Lagrangians that extremize the action, and provide an effective mass for the radion field. We derive a compact formula for the radion mass squared in terms of brane and bulk potentials for the case of a bulk scalar field. We further specialize these constraints for several, five-dimensional realizations of brane world models.
Kanti Panagiota
Olive Keith A.
Pospelov Maxim
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