Missing local operators, zeros, and twist-4 trajectories
Johan Henriksson, Petr Kravchuk, Brett Oertel
Abstract
A bstract The number of local operators in a CFT below a given twist grows with spin. Consistency with analyticity in spin then requires that at low spin, infinitely many Regge trajectories must decouple from local correlation functions, implying infinitely many vanishing conditions for OPE coefficients. In this paper we explain the mechanism behind this infinity of zeros. Specifically, the mechanism is related to the two-point function rather than the three-point function, explaining the vanishing of OPE coefficients in every correlator from a single condition. We illustrate our result by studying twist-4 Regge trajectories in the Wilson-Fisher CFT at one loop.
Topics & Concepts
PhysicsTwistCorrelation function (quantum field theory)InfinitySpin (aerodynamics)Mathematical physicsFunction (biology)Consistency (knowledge bases)Theoretical physicsPure mathematicsQuantum mechanicsMathematical analysisGeometryMathematicsDielectricEvolutionary biologyBiologyThermodynamicsQuantum many-body systemsTheoretical and Computational PhysicsBlack Holes and Theoretical Physics