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2020

Conformal Regge Theory at Finite Boost

Caron-Huot, Simon, Sandor, Joshua

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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.

Conformal Regge Theory at Finite Boost · Around

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S. D. Chowdhury, P. Haldar, and K. Sen, “Regge amplitudes in Generalized Fishnet and Chiral Fishnet Theories,” arXiv:2008.10201 [hep-th]
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M. S. Costa, T. Hansen, and J. Penedones, “Bounds for OPE coefficients on the Regge trajectory,” JHEP
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