Casimir effect between anti-de Sitter braneworlds

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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14 pages, 3 figures, revtex. Typos corrected and references added. Minor mistakes in Eq. 48 and Eq. A10 corrected

Scientific paper

10.1103/PhysRevD.69.125015

We calculate the one-loop effective action of a scalar field with general mass and coupling to the curvature in the detuned Randall-Sundrum brane world scenario, where the four-dimensional branes are anti-de Sitter. We make use of conformal transformations to map the problem to one on the direct product of the hyperbolic space H^4 and the interval. We also include the cocycle function for this transformation. This Casimir potential is shown to give a sizable correction to the classical radion potential for small values of brane separation.

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