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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2411.07330 |
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| _version_ | 1866913576427454464 |
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| author | Crisanti, Giulio Eden, Burkhard Gottwald, Maximilian Mastrolia, Pierpaolo Scherdin, Tobias |
| author_facet | Crisanti, Giulio Eden, Burkhard Gottwald, Maximilian Mastrolia, Pierpaolo Scherdin, Tobias |
| contents | Higher-point functions in N = 4 super Yang-Mills theory can be constructed using integrability by triangulating the surfaces on which Feynman graphs would be drawn. It remains hard to analytically compute the necessary re-gluing of the tiles by virtual particles. We propose a new approach to study a series of residues encountered in the two-particle gluing of the planar one-loop five-point function of stress tensor multiplets. After exposing the twisted period nature of the integral functions, we employ intersection theory to derive canonical differential equations and present a solution. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_07330 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Gluing via Intersection Theory Crisanti, Giulio Eden, Burkhard Gottwald, Maximilian Mastrolia, Pierpaolo Scherdin, Tobias High Energy Physics - Theory Higher-point functions in N = 4 super Yang-Mills theory can be constructed using integrability by triangulating the surfaces on which Feynman graphs would be drawn. It remains hard to analytically compute the necessary re-gluing of the tiles by virtual particles. We propose a new approach to study a series of residues encountered in the two-particle gluing of the planar one-loop five-point function of stress tensor multiplets. After exposing the twisted period nature of the integral functions, we employ intersection theory to derive canonical differential equations and present a solution. |
| title | Gluing via Intersection Theory |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2411.07330 |