English

More on divergences in brane world models

High Energy Physics - Theory 2013-05-29 v2 High Energy Physics - Phenomenology

Abstract

In this paper a model in a space-time with compact extra dimension is presented, describing five-dimensional fermion fields interacting with an electromagnetic field localized on a brane. This model can be considered as a toy model for examining possible consequences of the localization of gauge fields on a brane. It is shown that in the limit of infinite extra dimension, the lowest-order amplitudes of some processes in the resulting four-dimensional effective theory are divergent. Such a "localization catastrophe" can be inherent to more realistic brane world models with infinite extra dimensions.

Keywords

Cite

@article{arxiv.1210.7978,
  title  = {More on divergences in brane world models},
  author = {Mikhail N. Smolyakov},
  journal= {arXiv preprint arXiv:1210.7978},
  year   = {2013}
}

Comments

11 pages, 3 figures, LaTeX; v2: typos corrected, 1 figure added, 2 references added, text considerably enlarged, published in Phys. Rev. D

R2 v1 2026-06-21T22:29:59.224Z