Analytic bootstrap for the localized magnetic field
Lorenzo Bianchi, Davide Bonomi, Elia de Sabbata
Abstract
A bstract We study the two-point function of local operators in the critical O ( N ) model in the presence of a magnetic field localized on a line. We use a recently developed conformal dispersion relation to compute the correlator at first order in the ϵ -expansion and we extract the full set of defect and bulk CFT data using the Lorentzian inversion formulae. The only input for the computation of the connected correlator is its discontinuity at first order in perturbation theory, which is determined by the anomalous dimension of a single bulk operator. We discuss possible low-spin ambiguities and perform several diagrammatic checks of our results.
Topics & Concepts
PhysicsConformal mapDiagrammatic reasoningDiscontinuity (linguistics)Perturbation theory (quantum mechanics)ComputationOperator (biology)Mathematical physicsConformal field theoryInversion (geology)Magnetic fieldTheoretical physicsQuantum electrodynamicsQuantum mechanicsMathematical analysisAlgorithmMathematicsChemistryLinguisticsTranscription factorBiologyStructural basinPaleontologyBiochemistryGeneRepressorPhilosophyPhysics of Superconductivity and MagnetismTheoretical and Computational PhysicsAdvanced Condensed Matter Physics