On the Stabilization of the Size of Extra Dimensions
arXiv:hep-ph/0204202 · doi:10.1016/S0370-2693(02)01959-7
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.
16 pages, latex, two references added, version to appear in Physics Letters B
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- Stable, Time-Dependent, Exact Solutions for Brane Models with a Bulk Scalar Field
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- Brane World Dynamics and Conformal Bulk Fields
- Close to the edge: hierarchy in a double braneworld
- Induced fermionic current in AdS spacetime in the presence of a cosmic string and a compactified dimension
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- Observational Constraints on Braneworld Geometry
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- A model of cosmology and particle physics at an intermediate scale
- Conformal matter in warped backgrounds
- Mass of the Stabilized Radion in the Limit of Finite Quartic Coupling
- Superluminal propagation along the brane in space with extra dimensions