Abstract
Inspired by holographic Wilsonian renormalization, we propose a novel perspective on the low-energy effective actions of confining gauge theories with gravity duals. By identifying the IR-boundary value of a certain bulk field as overlapping with the lightest mode of the field theory, we derive its on-shell effective action by integrating over the rest of the geometry. We illustrate the details of this formalism by computing chiral Lagrangian coefficients in a simple AdS/QCD toy model, finding agreement with previous results. At higher orders we obtain new results in that model, including a closed form for the four-pion scattering amplitude to all orders in momentum. Finally, we reformulate our method in terms of bulk Feynman diagrams.
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Domokos, S.K., Field, M. On effective actions from holography. J. High Energ. Phys. 2014, 41 (2014). https://doi.org/10.1007/JHEP08(2014)041
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DOI: https://doi.org/10.1007/JHEP08(2014)041