Gauge Theories in $AdS_5$ and Fine-Lattice Deconstruction

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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17 pages, 1 figure, typos in listing version of abstract corrected

Scientific paper

10.1088/1126-6708/2004/11/060

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.

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