Conformal Regge theory at finite boost
Simon Caron-Huot, Joshua Sandor
Abstract
A bstract The Operator Product Expansion is a useful tool to represent correlation functions. In this note we extend Conformal Regge theory to provide an exact OPE representation of Lorenzian four-point correlators in conformal field theory, valid even away from Regge limit. The representation extends convergence of the OPE by rewriting it as a double integral over continuous spins and dimensions, and features a novel “Regge block”. We test the formula in the conformal fishnet theory, where exact results involving nontrivial Regge trajectories are available.
Topics & Concepts
PhysicsOperator product expansionConformal mapConformal field theoryMathematical physicsOperator (biology)Product (mathematics)Primary fieldRepresentation (politics)SpinsField (mathematics)Theoretical physicsBoundary conformal field theoryRewritingField theory (psychology)Quantum electrodynamicsConvergence (economics)Spin (aerodynamics)Duality (order theory)Conformal symmetryGravitational singularityLight coneMinimal modelsQuantum field theoryQuantum mechanicsExact solutions in general relativityCorrelation function (quantum field theory)Particle physics theoretical and experimental studiesTheoretical and Computational PhysicsQuantum Chromodynamics and Particle Interactions