Bulk quantum effects for de Sitter branes in AdS(5)

Abstract

We investigate some issues regarding quantum corrections for de Sitter branes in a bulk AdS(5) spacetime. The one-loop effective action for a Majorana spinor field is evaluated and compared with the scalar field result. We also evaluate the cocycle function for various boundary conditions, finding that the quantum corrections naturally induce higher order curvature terms in the original action and, in general, it is not possible to eliminate the cocycle function by renormalisation. In the one brane limit care must be taken on how one extracts physical results. The effective potential is found to be zero on the conformally related cylinder. However, using the actual metric, the contribution from the cocycle function is non-zero and must be included. Subtleties with any zero modes are also discussed.

12 pages, no figures, typos corrected, concurs with version to appear in PRD

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• Casimir densities for a plate in de Sitter spacetime
• Wightman function and vacuum densities in de Sitter spacetime with toroidally compactified dimensions
• Fermionic vacuum densities in higher-dimensional de Sitter spacetime
• Zeta Functions in Brane World Cosmology
• Surface vacuum energy and stresses for a brane in de Sitter spacetime
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