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arXiv · hep-th/0409223

Gauge Theories in $AdS_5$ and Fine-Lattice Deconstruction

Andrey Katz·Yael Shadmi
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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.

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Andrey Katz, Yael Shadmi. 2004-09-23. Gauge Theories in $AdS_5$ and Fine-Lattice Deconstruction. https://doi.org/10.1088/1126-6708%2F2004%2F11%2F060

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