2003/02/28 by Ian G. Moss, Wade Naylor, Wenceslao Santiago-Germán +1
Mathematics · Physics and Astronomy · #Anti-de Sitter space #Black Holes and Theoretical Physics #Brane #Cosmology and Gravitation Theories #Curvature #De Sitter universe #Effective action #Geometry #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Quantum mechanics #Renormalization #Spinor #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.67.125010
published as Phys.Rev.D67:125010,2003 · 12 pages, no figures, typos corrected, concurs with version to appear in PRD
arxiv created 2003/05/15 · openalex publication_date 2003/06/17 · openalex created_date 2016/06/24 · arxiv updated 2016/08/16 · openalex updated_date 2026/08/05
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.