Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 5, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP05(2021)059
Keywords
Conformal Field Theory; Integrable Field Theories
Categories
Funding
- National Science and Engineering Council of Canada
- Canada Research Chair program
- Fonds de Recherche du Quebec-Nature et Technologies
- Simons Collaboration on the Nonperturbative Bootstrap
- Institut des Sciences Mathematiques
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The note extends Conformal Regge theory to provide an exact OPE representation of Lorenzian four-point correlators in conformal field theory, even away from the Regge limit. This representation extends convergence of the OPE by rewriting it as a double integral over continuous spins and dimensions, and features a novel Regge block. The formula is tested in the conformal fishnet theory, where exact results involving nontrivial Regge trajectories are available.
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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