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

Poppitz, Erich and Shirman, Yuri (2002) The strength of small-instanton amplitudes in gauge theories with compact extra dimensions. Journal of High Energy Physics, 2002 (7). Art. No. 041. ISSN 1126-6708. doi:10.1088/1126-6708/2002/07/041.

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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 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/ρ.

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Additional Information:© SISSA 2002 Received 17 April 2002, accepted for publication 17 July 2002, Published 29 July 2002 It is a pleasure to thank Csaba Cs¶aki, Josh Erlich, and Yael Shadmi for collaboration at the early stages of this project and for many useful discussions. E.P. thanks Nima Arkani-Hamed, Andy Cohen, and Sergei Khlebnikov for discussions and insightful remarks. Y.S. is also grateful to Markus Luty, Sandip Pakvasa, and Xerxes Tata for useful discussions. Y.S. is supported in part by DOE grant DE-FG03-92-ER-40701.
Subject Keywords:Field Theories in Higher Dimensions, Nonperturbative Effects, Solitons Monopoles and Instantons, Extra Large Dimensions
Issue or Number:7
Record Number:CaltechAUTHORS:POPjhep02
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:3189
Deposited By: Archive Administrator
Deposited On:19 May 2006
Last Modified:08 Nov 2021 19:54

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