1210.7978 (Mikhail N. Smolyakov)

More on divergences in brane world models    [PDF]

Mikhail N. Smolyakov

In this note a model in a space-time with compact extra dimension, describing five-dimensional fermion fields interacting with electromagnetic field localized on a brane, is presented. This model can be considered as a toy model for examining possible consequences of 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 bane world models with infinite extra dimension.

View original: http://arxiv.org/abs/1210.7978