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

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Published 29 July 2002 Published under licence by IOP Publishing Ltd
, , Citation Erich Poppitz and Yuri Shirman JHEP07(2002)041 DOI 10.1088/1126-6708/2002/07/041

1126-6708/2002/07/041

Abstract

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 ρ << 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 eScript O(1)R.

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10.1088/1126-6708/2002/07/041