### Quantum self-consistency of $AdS \times \Sigma$ brane modelsQuantum self-consistency of $AdS \times \Sigma$ brane models

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 Author Flachi, A. ♦ Pujolas, O. Source arXiv.org Content type Text File Format PDF Date of Submission 2003-04-04 Language English
 Subject Domain (in DDC) Computer science, information & general works ♦ Natural sciences & mathematics ♦ Physics Subject Keyword High Energy Physics - Theory ♦ physics:hep-th Abstract Continuing on our previous work, we consider a class of higher dimensional brane models with the topology of $AdS_{D_1+1} \times \Sigma$, where $\Sigma$ 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 $a=e^{-\pi kr}$. 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 $\Delta_\Sigma$ on $\Sigma$ 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. Description Reference: Phys.Rev. D68 (2003) 025023 Educational Use Research Learning Resource Type Article Page Count 10