### Abstract

We argue that any viable mechanism of gauge field localization should automatically imply charge universality on the brane. We study whether this condition is satisfied in the two known proposals aimed to localize vector field in flat bulk space. We construct a simple calculable model with confinement in the bulk and deconfinement on the brane, as in the Shifman-Dvali set-up. We find that in our model the four-dimensional Coulomb law is indeed reproduced on the brane due to the massless localized photon mode. The charge universality is enforced by the presence of "confining strings." On the other hand, charge universality condition is not satisfied in another, brane-induced localization mechanism when the number of extra dimensions d is larger than two. We demonstrate that in the non-Abelian case the gauge fields inside the brane are never four-dimensional and their self-interaction is strong at all distances of interest. Hence this mechanism does not work for d > 2. At d = 2 the charge universality is still a problem, but it holds automatically at d = 1. At d = 1, however, the bulk gauge fields are strongly coupled in the non-Abelian case.

Original language | English (US) |
---|---|

Pages (from-to) | 4331-4349 |

Number of pages | 19 |

Journal | International Journal of Modern Physics A |

Volume | 16 |

Issue number | 26 |

DOIs | |

State | Published - Oct 20 2001 |

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### ASJC Scopus subject areas

- Mathematical Physics
- Physics and Astronomy(all)
- Nuclear and High Energy Physics

### Cite this

*International Journal of Modern Physics A*,

*16*(26), 4331-4349. https://doi.org/10.1142/S0217751X01005286

**On models of gauge field localization on a brane.** / Dubovsky, S. L.; Rubakov, V. A.

Research output: Contribution to journal › Article

*International Journal of Modern Physics A*, vol. 16, no. 26, pp. 4331-4349. https://doi.org/10.1142/S0217751X01005286

}

TY - JOUR

T1 - On models of gauge field localization on a brane

AU - Dubovsky, S. L.

AU - Rubakov, V. A.

PY - 2001/10/20

Y1 - 2001/10/20

N2 - We argue that any viable mechanism of gauge field localization should automatically imply charge universality on the brane. We study whether this condition is satisfied in the two known proposals aimed to localize vector field in flat bulk space. We construct a simple calculable model with confinement in the bulk and deconfinement on the brane, as in the Shifman-Dvali set-up. We find that in our model the four-dimensional Coulomb law is indeed reproduced on the brane due to the massless localized photon mode. The charge universality is enforced by the presence of "confining strings." On the other hand, charge universality condition is not satisfied in another, brane-induced localization mechanism when the number of extra dimensions d is larger than two. We demonstrate that in the non-Abelian case the gauge fields inside the brane are never four-dimensional and their self-interaction is strong at all distances of interest. Hence this mechanism does not work for d > 2. At d = 2 the charge universality is still a problem, but it holds automatically at d = 1. At d = 1, however, the bulk gauge fields are strongly coupled in the non-Abelian case.

AB - We argue that any viable mechanism of gauge field localization should automatically imply charge universality on the brane. We study whether this condition is satisfied in the two known proposals aimed to localize vector field in flat bulk space. We construct a simple calculable model with confinement in the bulk and deconfinement on the brane, as in the Shifman-Dvali set-up. We find that in our model the four-dimensional Coulomb law is indeed reproduced on the brane due to the massless localized photon mode. The charge universality is enforced by the presence of "confining strings." On the other hand, charge universality condition is not satisfied in another, brane-induced localization mechanism when the number of extra dimensions d is larger than two. We demonstrate that in the non-Abelian case the gauge fields inside the brane are never four-dimensional and their self-interaction is strong at all distances of interest. Hence this mechanism does not work for d > 2. At d = 2 the charge universality is still a problem, but it holds automatically at d = 1. At d = 1, however, the bulk gauge fields are strongly coupled in the non-Abelian case.

UR - http://www.scopus.com/inward/record.url?scp=0035923193&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0035923193&partnerID=8YFLogxK

U2 - 10.1142/S0217751X01005286

DO - 10.1142/S0217751X01005286

M3 - Article

VL - 16

SP - 4331

EP - 4349

JO - International Journal of Modern Physics A

JF - International Journal of Modern Physics A

SN - 0217-751X

IS - 26

ER -