Renormalization group flows in AdS and the bootstrap program
Marco Meineri, João Penedones, Taro Spirig
Abstract
A bstract We study correlation functions of the bulk stress tensor and boundary operators in Quantum Field Theories (QFT) in Anti-de Sitter (AdS) space. In particular, we derive new sum rules from the two-point function of the stress tensor and its three-point function with two boundary operators. In AdS 2 , this leads to a bootstrap setup that involves the central charge of the UV limit of the bulk QFT and may allow to follow a Renormalization Group (RG) flow non-perturbatively by continuously varying the AdS radius. Along the way, we establish the convergence properties of the newly discovered local block decomposition of the three-point function.
Topics & Concepts
PhysicsRenormalization groupMathematical physicsCauchy stress tensorTensor (intrinsic definition)Correlation function (quantum field theory)Anti-de Sitter spaceQuantum field theoryFunction (biology)Boundary (topology)Flow (mathematics)RenormalizationUltraviolet fixed pointFunctional renormalization groupQuantum mechanicsQuantum gravityQuantumMathematical analysisThermal quantum field theoryPure mathematicsMathematicsBiologyMechanicsDielectricEvolutionary biologyBlack Holes and Theoretical PhysicsCosmology and Gravitation TheoriesQuantum Chromodynamics and Particle Interactions