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Lookup NU author(s): Professor David Toms
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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.
Author(s): Toms DJ; Flachi A
Publication type: Article
Publication status: Published
Journal: Nuclear Physics B
Year: 2001
Volume: 610
Issue: 1-2
Pages: 144-168
ISSN (print): 0550-3213
ISSN (electronic): 1873-1562
Publisher: Elsevier
URL: http://dx.doi.org/10.1016/S0550-3213(01)00314-5
DOI: 10.1016/S0550-3213(01)00314-5
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