Quantum self-consistency of $AdS \times Σ$ brane models

A. Flachi; O. Pujolas

doi:10.1103/PhysRevD.68.025023

paper

Quantum self-consistency of $A d S \times Σ$ brane models

arXiv:hep-th/0304040 · doi:10.1103/PhysRevD.68.025023

Abstract

Continuing on our previous work, we consider a class of higher dimensional brane models with the topology of $A d S_{D_{1} + 1} \times Σ$ , where $Σ$ is a one-parameter compact manifold and two branes of codimension 1 are located at the orbifold fixed points. We consider a set-up 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 models resolves the gauge hierarchy between the Planck and electroweak scales through redshift effects due to the warp factor $a = e^{- π k r}$ . 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 stabilises the hierarchy without fine-tuning as long as the laplacian $Δ_{Σ}$ on $Σ$ has a zero eigenvalue. Scalar fields can stabilise the hierarchy depending on the mass and the non-minimal coupling. We also address the quantum self-consistency of the solution, showing that the classical brane solution is not spoiled by quantum effects.

10 pages

Quantum self-consistency of $A d S \times Σ$ brane models

Abstract

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Quantum self-consistency of $A d S \times Σ$ brane models