Dynamical generation of fuzzy extra dimensions, dimensional reduction and symmetry breaking
High Energy Physics - Theory
2009-11-11 v2 High Energy Physics - Phenomenology
Abstract
We present a renormalizable 4-dimensional SU(N) gauge theory with a suitable multiplet of scalar fields, which dynamically develops extra dimensions in the form of a fuzzy sphere S^2. We explicitly find the tower of massive Kaluza-Klein modes consistent with an interpretation as gauge theory on M^4 x S^2, the scalars being interpreted as gauge fields on S^2. The gauge group is broken dynamically, and the low-energy content of the model is determined. Depending on the parameters of the model the low-energy gauge group can be SU(n), or broken further to SU(n_1) x SU(n_2) x U(1), with mass scale determined by the size of the extra dimension.
Keywords
Cite
@article{arxiv.hep-th/0606021,
title = {Dynamical generation of fuzzy extra dimensions, dimensional reduction and symmetry breaking},
author = {Paolo Aschieri and Theodoros Grammatikopoulos and Harold Steinacker and George Zoupanos},
journal= {arXiv preprint arXiv:hep-th/0606021},
year = {2009}
}
Comments
27 pages. V2: discussion and references added, published version