Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2312.02273 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866914706038456320 |
|---|---|
| author | van Rees, Balt C. Zhao, Xiang |
| author_facet | van Rees, Balt C. Zhao, Xiang |
| contents | We consider the behavior of the OPE density $c(Δ,\ell)$ 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_02273 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Flat-space Partial Waves From Conformal OPE Densities van Rees, Balt C. Zhao, Xiang High Energy Physics - Theory We consider the behavior of the OPE density $c(Δ,\ell)$ 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. |
| title | Flat-space Partial Waves From Conformal OPE Densities |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2312.02273 |