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

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

2002-04-08

arxiv.org/abs/hep-th/0204075v2

JHEP 0207 (2002) 041

Physics

High Energy Physics

High Energy Physics - Theory

Title modified, references added, typos corrected. Version to appear in JHEP. 24 pages, 1 figure

Scientific paper

10.1088/1126-6708/2002/07/041

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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