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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/2505.05550 |
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| _version_ | 1866908597800140800 |
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| author | Loebbert, Florian Rüenaufer, Lucas Stawinski, Sven F. |
| author_facet | Loebbert, Florian Rüenaufer, Lucas Stawinski, Sven F. |
| contents | We prove the invariance of scalar Feynman graphs of any planar topology under the Yangian level-one momentum symmetry given certain constraints on the propagator powers. The proof relies on relating this symmetry to a planarized version of the conformal simplices of Bzowski, McFadden and Skenderis. In particular, this proves a momentum-space analogue of the position-space conformal condition on propagator powers. When combined with the latter, the invariance under the level-one momentum implies full Yangian symmetry of the considered graphs. These include all scalar Feynman integrals for which a Yangian symmetry was previously demonstrated at the level of examples, e.g. the fishnet or loom graphs, as well as generalizations to graphs with massive propagators. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_05550 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Non-Local Symmetries of Planar Feynman Integrals Loebbert, Florian Rüenaufer, Lucas Stawinski, Sven F. High Energy Physics - Theory Mathematical Physics We prove the invariance of scalar Feynman graphs of any planar topology under the Yangian level-one momentum symmetry given certain constraints on the propagator powers. The proof relies on relating this symmetry to a planarized version of the conformal simplices of Bzowski, McFadden and Skenderis. In particular, this proves a momentum-space analogue of the position-space conformal condition on propagator powers. When combined with the latter, the invariance under the level-one momentum implies full Yangian symmetry of the considered graphs. These include all scalar Feynman integrals for which a Yangian symmetry was previously demonstrated at the level of examples, e.g. the fishnet or loom graphs, as well as generalizations to graphs with massive propagators. |
| title | Non-Local Symmetries of Planar Feynman Integrals |
| topic | High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2505.05550 |