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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2501.04621 |
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| _version_ | 1866913641467478016 |
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| author | Agarwal, Pulkit Brower, Richard Raben, Timothy Tan, Chung-I |
| author_facet | Agarwal, Pulkit Brower, Richard Raben, Timothy Tan, Chung-I |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_04621 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Lorentzian OPE Inversion Formula: A Geometric Perspective Agarwal, Pulkit Brower, Richard Raben, Timothy Tan, Chung-I High Energy Physics - Theory 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. |
| title | Lorentzian OPE Inversion Formula: A Geometric Perspective |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2501.04621 |