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arXiv · hep-th/0103077

Quantized bulk scalar fields in the Randall-Sundrum brane-model

A. Flachi·D. J. Toms
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Abstract

We examine the lowest order quantum corrections to the effective action arising from a quantized real scalar field in the Randall-Sundrum background spacetime. The leading term is the familiar vacuum, or Casimir, energy density. The next term represents an induced gravity term that can renormalize the 4-dimensional Newtonian gravitational constant. The calculations are performed for an arbitrary spacetime dimension. Two inequivalent boundary conditions, corresponding to twisted and untwisted field configurations, are considered. A careful discussion of the regularization and renormalization of the effective action is given, with the relevant counterterms found. It is shown that the requirement of self-consistency of the Randall-Sundrum solution is not simply a matter of minimizing the Casimir energy density. The massless, conformally coupled scalar field results are obtained as a special limiting case of our results. We clarify a number of differences with previous work.

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A. Flachi, D. J. Toms. 2001-03-31. Quantized bulk scalar fields in the Randall-Sundrum brane-model. https://doi.org/10.1016/s0550-3213(01)00314-5

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