Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-03-31
Phys.Rev. D69 (2004) 125015
Physics
High Energy Physics
High Energy Physics - Theory
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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