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Lookup NU author(s): Professor Ian MossORCiD, Wenceslao Santiago-German
We investigate some issues regarding quantum corrections for de Sitter branes in a bulk AdS5 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 renormalization. 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 nonzero and must be included. Subtleties with any zero modes are also discussed. © 2003 The American Physical Society.
Author(s): Moss IG, Naylor W, Santiago-German W, Sasaki M
Publication type: Article
Publication status: Published
Journal: Physical Review D
Year: 2003
Volume: 67
Issue: 12
Pages: 9
Print publication date: 01/01/2003
ISSN (print): 1550-7998
ISSN (electronic): 1089-4918
Publisher: American Physical Society
URL: http://dx.doi.org/10.1103/PhysRevD.67.125010
DOI: 10.1103/PhysRevD.67.125010
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