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Casimir effect between anti-de Sitter braneworlds

James P. Norman
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Abstract

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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James P. Norman. 2004-07-29. Casimir effect between anti-de Sitter braneworlds. https://doi.org/10.1103/physrevd.69.125015

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