2014/02/21 by Sophia K. Domokos, Matan Field · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Boundary value problem #Classical mechanics #Cosmology and Gravitation Theories #Dual polyhedron #Effective action #Effective field theory #Feynman diagram #Gauge theory #Geometry #Holography #Mathematical physics #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum chromodynamics #Quantum electrodynamics #Quantum mechanics #Renormalization #Scattering #Scattering amplitude #Theoretical physics #hep-th
paper · pdf · doi:10.1007/jhep08(2014)041
published in Journal of High Energy Physics 2014(8) (Springer Nature) · 39 pages, prepared for submission to JHEP
arxiv created 2014/02/21 · openalex publication_date 2014/08/01 · arxiv updated 2015/06/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.