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Renormalizability of gauge theories in extra dimensions

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arxiv hep-th/0305208 v1 pith:ZWZM7LK7 submitted 2003-05-23 hep-th hep-ph

Holger Gies (CERN , Heidelberg U.) This is my paper · ORCID
classification hep-thhep-ph
keywords dimensionsrenormalizabilitygaugetheoriescriticaldimensionextrafixed
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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.

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  1. Are there minimal exceptional aGUTs from stable 5D orbifolds?

    hep-ph 2025-01 conditional novelty 7.0 of 10

    Stable 5D orbifold breakings of exceptional gauge groups never yield just the Standard Model gauge group, ruling out minimal exceptional asymptotic GUTs.

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