Casimir effect in de Sitter and Anti-de Sitter braneworlds

Details Casimir effect in de Sitter and Anti-de Sitter braneworlds Casimir effect in de Sitter and Anti-de Sitter braneworlds

2002-09-27

arxiv.org/abs/hep-th/0209242v3

Phys.Rev.D67:063515,2003

Physics

High Energy Physics

High Energy Physics - Theory

37 pages, LaTeX, references added, some revision is done, version to appear in PRD

Scientific paper

10.1103/PhysRevD.67.063515

We discuss the bulk Casimir effect (effective potential) for a conformal or massive scalar when the bulk represents five-dimensional AdS or dS space with two or one four-dimensional dS brane, which may correspond to our universe. Using zeta-regularization, the interesting conclusion is reached, that for both bulks in the one-brane limit the effective potential corresponding to the massive or to the conformal scalar is zero. The radion potential in the presence of quantum corrections is found. It is demonstrated that both the dS and the AdS braneworlds may be stabilized by using the Casimir force only. A brief study indicates that bulk quantum effects are relevant for brane cosmology, because they do deform the de Sitter brane. They may also provide a natural mechanism yielding a decrease of the four-dimensional cosmological constant on the physical brane of the two-brane configuration.

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