Analytical evaluation of AdS4 Witten diagrams as flat space multi-loop Feynman integrals
Till Heckelbacher, Ivo Sachs, Evgeny Skvortsov, Pierre Vanhove
Abstract
A bstract We describe a systematic approach for the evaluation of Witten diagrams for multi-loop scattering amplitudes of a conformally coupled scalar ϕ 4 -theory in Euclidean AdS 4 , by recasting the Witten diagrams as flat space Feynman integrals. We derive closed form expressions for the anomalous dimensions for all double-trace operators up to the second order in the coupling constant. We explain the relation between the flat space unitarity methods and the discontinuities of the short distance expansion on the boundary of Witten diagrams.
Topics & Concepts
PhysicsFeynman diagramUnitarityScalar (mathematics)Mathematical physicsScattering amplitudeCoupling constantSpace (punctuation)Euclidean geometryEuclidean spaceScatteringQuantum electrodynamicsQuantum mechanicsMathematical analysisGeometryMathematicsPhilosophyLinguisticsBlack Holes and Theoretical PhysicsNoncommutative and Quantum Gravity TheoriesParticle physics theoretical and experimental studies