The Lorentzian inversion formula and the spectrum of the 3d O(2) CFT
Junyu Liu, David O. Meltzer, David Poland, David Simmons–Duffin
Abstract
A bstract We study the spectrum and OPE coefficients of the three-dimensional critical O(2) model, using four-point functions of the leading scalars with charges 0, 1, and 2 ( s , ϕ , and t ). We obtain numerical predictions for low-twist OPE data in several charge sectors using the extremal functional method. We compare the results to analytical estimates using the Lorentzian inversion formula and a small amount of numerical input. We find agreement between the analytic and numerical predictions. We also give evidence that certain scalar operators lie on double-twist Regge trajectories and obtain estimates for the leading Regge intercepts of the O(2) model.
Topics & Concepts
TwistScalar (mathematics)Inversion (geology)PhysicsSpectrum (functional analysis)Mathematical physicsNumerical analysisInverseMathematical analysisMathematicsGeometryQuantum mechanicsGeologyPaleontologyStructural basinBlack Holes and Theoretical PhysicsParticle physics theoretical and experimental studiesQuantum Chromodynamics and Particle Interactions