Gauge Theories in $Ad{S}_5$ and Fine-Lattice Deconstruction

Abstract

The logarithmic energy dependence of gauge couplings in AdS_5 emerges almost automatically when the theory is deconstructed on a coarse lattice. Here we study the theory away from the coarse-lattice limit. While we cannot analytically calculate individual KK masses for a fine lattice, we can calculate the product of all non-zero masses. This allows us to write down the gauge coupling at low energies for any lattice-spacing and curvature. As expected, the leading log behaviour is corrected by power-law contributions, suppressed by the curvature. We then turn to intermediate energies, and discuss the gauge coupling and the gauge boson profile in perturbation theory around the coarse-lattice limit.

arXiv comment17 pages, 1 figure, typos in listing version of abstract corrected

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• Warped Domain Wall Fermions
• Dynamically Warped Theory Space and Collective Supersymmetry Breaking
• Discretized Gravity in 6D Warped Space
• Gauge Threshold Corrections in Warped Geometry
• Physics Fun with Discrete Scale Invariance
• Deconstructing the Gel'fand--Yaglom method and vacuum energy from a theory space