Renormalizability of gauge theories in extra dimensions
High Energy Physics - Theory
2009-11-10 v1 High Energy Physics - Phenomenology
Abstract
We analyze the possibility of nonperturbative renormalizability of gauge theories in D > 4 dimensions. We develop a scenario, based on Weinberg's idea of asymptotic safety, that allows for renormalizability in extra dimensions owing to a non-Gaussian ultraviolet stable fixed point. Our scenario predicts a critical dimension D_cr beyond which the UV fixed point vanishes, such that renormalizability is possible for D <= D_cr. Within the framework of exact RG equations, the critical dimension for various SU(N) gauge theories can be computed to lie near five dimensions: 5 ~< D_cr < 6. Therefore, our results exclude nonperturbative renormalizability of gauge theories in D=6 and higher dimensions.
Keywords
Cite
@article{arxiv.hep-th/0305208,
title = {Renormalizability of gauge theories in extra dimensions},
author = {Holger Gies},
journal= {arXiv preprint arXiv:hep-th/0305208},
year = {2009}
}
Comments
18 pages, 4 figures