### Abstract

Continuing our previous work, we consider a class of higher dimensional brane models with the topology of [Formula Presented] where [Formula Presented] 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 [Formula Presented] 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 [Formula Presented] on [Formula Presented] 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 language | English |
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Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |

Volume | 68 |

Issue number | 2 |

DOIs | |

Publication status | Published - 2003 Jan 1 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics
- Physics and Astronomy (miscellaneous)

### Cite this

**Quantum self-consistency of [Formula Presented] brane models.** / Flachi, Antonino; Pujolàs, Oriol.

Research output: Contribution to journal › Article

}

TY - JOUR

T1 - Quantum self-consistency of [Formula Presented] brane models

AU - Flachi, Antonino

AU - Pujolàs, Oriol

PY - 2003/1/1

Y1 - 2003/1/1

N2 - Continuing our previous work, we consider a class of higher dimensional brane models with the topology of [Formula Presented] where [Formula Presented] 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 [Formula Presented] 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 [Formula Presented] on [Formula Presented] 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.

AB - Continuing our previous work, we consider a class of higher dimensional brane models with the topology of [Formula Presented] where [Formula Presented] 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 [Formula Presented] 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 [Formula Presented] on [Formula Presented] 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.

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U2 - 10.1103/PhysRevD.68.025023

DO - 10.1103/PhysRevD.68.025023

M3 - Article

AN - SCOPUS:85039004973

VL - 68

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 1550-7998

IS - 2

ER -