Conformal Regge Theory at Finite Boost
Simon Caron-Huot, Joshua Sandor
TL;DR
This paper extends Conformal Regge theory to provide an exact OPE representation of Lorentzian four-point correlators in conformal field theory, valid beyond the Regge limit, using a double integral over spins and dimensions, and introduces a new 'Regge block'.
Contribution
It introduces a novel exact OPE representation valid away from the Regge limit, featuring a double integral over spins and dimensions and a new Regge block, tested in conformal fishnet theory.
Findings
Validated the formula in conformal fishnet theory.
Derived a new 'Regge block' for OPE expansion.
Extended convergence of the OPE beyond Regge limit.
Abstract
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.
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