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arxiv: hep-th/0204075 · v2 · submitted 2002-04-08 · ✦ hep-th · hep-ph

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The strength of small-instanton amplitudes in gauge theories with compact extra dimensions

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classification ✦ hep-th hep-ph
keywords extraamplitudebulkcompactdimensionsgaugeinstantoninstantons
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We study instanton effects in theories with compact extra dimensions. We perform an instanton calculation in a 5d theory on a circle of radius R, with gauge, scalar, and fermion fields in the bulk of the extra dimension. We show that, depending on the matter content, instantons of size rho << R can dominate the amplitude. Using deconstruction as an ultraviolet definition of the theory allows us to show, in a controlled approximation, that for a small number of bulk fermions, the amplitude for small size instantons exponentially grows as e^{O(1)R/rho}.

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