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

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 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}.

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

References in corpus (6)

• (De)Constructing Dimensions
• Gauge Invariant Effective Lagrangian for Kaluza-Klein Modes
• The Standard Model in the Latticized Bulk
• 4D Constructions of Supersymmetric Extra Dimensions and Gaugino Mediation
• Exact Results in 5D from Instantons and Deconstruction
• Topological Solitons from DeConstructed Extra Dimensions

Cited by in corpus (13)

• The Axion Mass from 5D Small Instantons
• Calculation of QCD Instanton Determinant with Arbitrary Mass
• Deconstructing 5-D QED
• Challenges for heavy QCD axion inflation
• Proton Lifetime and Baryon Number Violating Signatures at the LHC in Gauge Extended Models
• Strong CP problem and axion dark matter with small instantons
• High Energy Sphalerons for Baryogenesis at Low Temperatures
• Loop Corrections in Higher Dimensions via Deconstruction
• Deconstructing KK Monopoles
• Lepton Masses and Mixing in a Left-Right Symmetric Model with a TeV-scale Gravity
• UV Sensitivity of the Axion Mass from Instantons in Partially Broken Gauge Groups
• Gauge coupling jump and small instantons from a large non-minimal coupling
• Small Instantons in Weakly-Gauged Holographic Models