Stress-energy tensor for a quantised bulk scalar field in the Randall-Sundrum brane model
arXiv:hep-th/0309176 · doi:10.1103/PhysRevD.69.044023
Abstract
We calculate the vacuum expectation value of the stress-energy tensor for a quantised bulk scalar field in the Randall-Sundrum model, and discuss the consequences of its local behaviour for the self-consistency of the model. We find that, in general, the stress-energy tensor diverges in the vicinity of the branes. Our main conclusion is that the stress-energy tensor is sufficiently complicated that it has implications for the effective potential, or radion stabilisation, methods that have so far been used.
arXiv comment16 pages, 3 figures. Minor changes made and references added. To appear in Phys. Rev. D
References in corpus (17)
- A Large Mass Hierarchy from a Small Extra Dimension
- The Hierarchy Problem and New Dimensions at a Millimeter
- New Dimensions at a Millimeter to a Fermi and Superstrings at a TeV
- Heterotic and Type I String Dynamics from Eleven Dimensions
- Eleven-Dimensional Supergravity on a Manifold with Boundary
- Modulus Stabilization with Bulk Fields
- Bulk Fields in the Randall-Sundrum Compactification Scenario
- Casimir effect for scalar fields under Robin boundary conditions on plates
- A Warped Supersymmetric Standard Model
- Quantum Stabilization of Compactified AdS_5
- Radion effective potential in the Brane-World
- Quantized bulk scalar fields in the Randall-Sundrum brane-model
- The Casimir Effect on Background of Conformally Flat Brane--World Geometries
- (De)Stabilization of an extra dimension due to a Casimir force
- Quantised bulk fields in the Randall-Sundrum compactification model
- Quantum effects, brane tension and large hierarchy in the brane-world
- Static solutions in the R^4 brane world
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