On the Stabilization of the Size of Extra Dimensions
Abstract
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.
Keywords
Cite
@article{arxiv.hep-ph/0204202,
title = {On the Stabilization of the Size of Extra Dimensions},
author = {Panagiota Kanti and Keith A. Olive and Maxim Pospelov},
journal= {arXiv preprint arXiv:hep-ph/0204202},
year = {2008}
}
Comments
16 pages, latex, two references added, version to appear in Physics Letters B