Quantized bulk scalar fields in the Randall-Sundrum brane model

A. Flachi, D. J. Toms

Research output: Contribution to journalArticlepeer-review

104 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)144-168
Number of pages25
JournalNuclear Physics B
Issue number1-2
Publication statusPublished - 2001 Sept 3
Externally publishedYes


  • 04.50.+h
  • 04.62.+v
  • 11.10.Kk
  • 11.25.Mj
  • Brane models
  • Extra dimensions
  • Quantum fields

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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