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arXiv · 2501.04621

Lorentzian OPE Inversion Formula: A Geometric Perspective

Pulkit Agarwal·Richard Brower·Timothy Raben·Chung-I Tan
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Abstract

We give a new perspective on the Lorentzian OPE inversion formula of arXiv:1703.00278, building on arXiv:2302.06469. We introduce an ``auxiliary'' fourpoint function that can be related to the traditionally defined ones via a Radon transform. The Mellin amplitudes associated with this auxiliary function can be shown to be equivalent to the conventional partial wave amplitudes. This has the intuitive geometrical meaning of a generalization of the Projection-Slice Theorem.

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Pulkit Agarwal, Richard Brower, Timothy Raben, Chung-I Tan. 2025-01-08. Lorentzian OPE Inversion Formula: A Geometric Perspective. https://arxiv.org/abs/2501.04621

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