Lorentzian OPE inversion formula: A geometric perspective

Agarwal, Pulkit; Brower, Richard; Raben, Timothy; Tan, Chung-I

doi:10.1103/PhysRevD.111.106012

Lorentzian OPE inversion formula: A geometric perspective

Journal Article · Tue May 20 00:00:00 EDT 2025 · Physical Review. D.

DOI:https://doi.org/10.1103/PhysRevD.111.106012· OSTI ID:2567670

; ; ; Tan, Chung-I

We give a new perspective on the Lorentzian operator product expansion inversion formula [S. Caron-Huot, Analyticity in spin in conformal theories, .; D. Simmons-Duffin, D. Stanford, and E. Witten, A spacetime derivation of the Lorentzian OPE inversion formula, .], building on [P. Agarwal , companion paper, Embedding space approach to Lorentzian CFT amplitudes and causal spherical functions, .]. 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.

Published by the American Physical Society 2025

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Sponsoring Organization:: USDOE

Grant/Contract Number:: SC0015845; SC0019139

OSTI ID:: 2567670

Journal Information:: Physical Review. D., Journal Name: Physical Review. D. Journal Issue: 10 Vol. 111; ISSN PRVDAQ; ISSN 2470-0010

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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