Interacting conformal scalar in a wedge
Agnese Bissi, Parijat Dey, Jacopo Sisti, Alexander Söderberg
Abstract
A bstract We study a class of two-point functions in a conformal field theory near a wedge. This is a set-up with two boundaries intersecting at an angle θ . We compute it as a solution to the Dyson-Schwinger equation of motion for a quartic interaction in the d = 4 − ϵ bulk and on one of the boundaries in d = 3 − ϵ , up to order ( ϵ ). We have extracted the anomalous dimensions from such correlators, which we complemented with Feynman diagrams computations.
Topics & Concepts
Quartic functionConformal mapWedge (geometry)Mathematical physicsScalar (mathematics)Feynman diagramScalar fieldPhysicsComputationConformal symmetryMathematicsMathematical analysisGeometryPure mathematicsAlgorithmBlack Holes and Theoretical PhysicsCosmology and Gravitation TheoriesNoncommutative and Quantum Gravity Theories