Renormalizable Theories from Fuzzy Higher Dimensions

Details Renormalizable Theories from Fuzzy Higher Dimensions Renormalizable Theories from Fuzzy Higher Dimensions

2005-03-04

arxiv.org/abs/hep-th/0503039v1

Physics

High Energy Physics

High Energy Physics - Theory

11 pages. Based on invited lectures given by John Madore and George Zoupanos in the III Summer School in Modern Mathematical P

Scientific paper

We consider gauge theories defined in higher dimensions where the extra dimensions form a fuzzy space (a finite matrix manifold). We reinterpret these gauge theories as four-dimensional theories with Kaluza-Klein modes. We then perform a generalized `a la Forgacs-Manton dimensional reduction. We emphasize some striking features emerging such as (i) the appearance of non-abelian gauge theories in four dimensions starting from an abelian gauge theory in higher dimensions, (ii) the fact that the spontaneous symmetry breaking of the theory takes place entirely in the extra dimensions and (iii) the renormalizability of the theory both in higher as well as in four dimensions.

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