Flat-space Partial Waves From Conformal OPE Densities - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2024

Flat-space Partial Waves From Conformal OPE Densities

Résumé

We consider the behavior of the OPE density $c(\Delta,\ell)$ for conformal four-point functions in the flat-space limit where all scaling dimensions become large. We find evidence that the density reduces to the partial waves $f_\ell(s)$ of the corresponding scattering amplitude. The Euclidean inversion formula then reduces to the partial wave projection and the Lorentzian inversion formula to the Froissart-Gribov formula. The flat-space limit of the OPE density can however also diverge, and we delineate the domain in the complex $s$ plane where this happens. Finally we argue that the conformal dispersion relation reduces to an ordinary single-variable dispersion relation for scattering amplitudes.

Dates et versions

hal-04488774 , version 1 (04-03-2024)

Identifiants

Citer

Balt C van Rees, Xiang Zhao. Flat-space Partial Waves From Conformal OPE Densities. 2024. ⟨hal-04488774⟩
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