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Integrability for Feynman Integrals
by Florian Loebbert
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Submission summary
| Authors (as registered SciPost users): | Florian Loebbert |
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| Preprint Link: | https://arxiv.org/abs/2212.09636v2 (pdf) |
| Date accepted: | 2023-08-11 |
| Date submitted: | 2023-02-03 13:08 |
| Submitted by: | Loebbert, Florian |
| Submitted to: | SciPost Physics Proceedings |
| Proceedings issue: | 34th International Colloquium on Group Theoretical Methods in Physics (GROUP2022) |
| Ontological classification | |
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| Academic field: | Physics |
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| Approach: | Theoretical |
Abstract
We give a brief overview of the Yangian symmetry of Feynman integrals. After a short introduction to the Yangian and integrability, we motivate the emergence of integrable structures for Feynman integrals via the fishnet limit of AdS/CFT. We discuss the resulting Yangian differential equations for massless fishnets in four dimensions as well as generalizations to massive propagators and generic dimensions. We also comment on the relation to momentum space conformal symmetry and on examples in dimensional regularization. Finally we sketch the recent application to fishnet integrals in two spacetime dimensions and the curious identification of Yangian invariants with period integrals of Calabi-Yau geometries.
Published as SciPost Phys. Proc. 14, 008 (2023)