Quantum self-consistency of AdS×∑ brane models

Antonino Flachi, Oriol Pujolàs

Research output: Contribution to journalArticlepeer-review

23 Citations (Scopus)


Continuing our previous work, we consider a class of higher dimensional brane models with the topology of AdSD1+1 × ∑, where ∑ is a one-parameter compact manifold and two branes of codimension one are located at the orbifold fixed points. We consider a setup where such a solution arises from Einstein-Yang-Mills theory and evaluate the one-loop effective potential induced by gauge fields and by a generic bulk scalar field. We show that this type of brane model resolves the gauge hierarchy between the Planck and electroweak scales through redshift effects due to the warp factor a = e-πkr. The value of a is then fixed by minimizing the effective potential. We find that, as in the Randall-Sundrum case, the gauge field contribution to the effective potential stabilizes the hierarchy without fine-tuning as long as the Laplacian Δ∑ on ∑ has a zero eigenvalue. Scalar fields can stabilize the hierarchy depending on the mass and the nonminimal coupling. We also address the quantum self-consistency of the solution, showing that the classical brane solution is not spoiled by quantum effects.

Original languageEnglish
Article number025023
JournalPhysical Review D
Issue number2
Publication statusPublished - 2003
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)


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