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.

A preprint version of the article is available at ArXiv.

中文翻译：

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有限提升的共形Regge理论

运营商产品扩展是表示关联函数的有用工具。在本说明中，我们扩展了共形Regge理论，以在共形场理论中提供Lorenzian四点相关器的精确OPE表示，甚至在远离Regge极限的情况下也有效。该表示法将OPE的收敛性重写为连续旋转和尺寸上的双重积分，从而扩展了OPE的收敛性，并具有新颖的“ Regge块”。我们在共形鱼网理论中测试了该公式，可以得到涉及非平凡Regge轨迹的精确结果。

该文章的预印本可在ArXiv上获得。