Lorentzian OPE Inversion Formula: A Geometric Perspective
High Energy Physics - Theory
2025-01-09 v1
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.
Cite
@article{arxiv.2501.04621,
title = {Lorentzian OPE Inversion Formula: A Geometric Perspective},
author = {Pulkit Agarwal and Richard Brower and Timothy Raben and Chung-I Tan},
journal= {arXiv preprint arXiv:2501.04621},
year = {2025}
}
Comments
26 pages, 7 figures