The Casimir Effect on Background of Conformally Flat Brane--World Geometries
A. A. Saharian, M. R. Setare
TL;DR
This paper investigates the Casimir effect in conformally flat brane-world geometries, deriving formulas for vacuum energy and forces, with applications to the Randall-Sundrum model and radion stabilization.
Contribution
It provides new formulas for vacuum energy-momentum tensor and forces in conformally flat brane-worlds, including the AdS bulk and Randall-Sundrum scenario.
Findings
Vacuum forces can stabilize the radion field.
Derived general formulas for vacuum expectation values.
Applied results to the Randall-Sundrum model.
Abstract
The Casimir effect due to conformally coupled bulk scalar fields on background of conformally flat brane-world geometries is investigated. In the general case of mixed boundary conditions formulae are derived for the vacuum expectation values of the energy-momentum tensor and vacuum forces acting on boundaries. The special case of the AdS bulk is considered and the application to the Randall-Sundrum scenario is discussed. The possibility for the radion stabilization by the vacuum forces is demonstrated.
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