Reclassifying Feynman integrals as special functions
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2023
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866914735247589376 |
|---|---|
| author | Liu, Zhi-Feng Ma, Yan-Qing Wang, Chen-Yu |
| author_facet | Liu, Zhi-Feng Ma, Yan-Qing Wang, Chen-Yu |
| contents | Although Feynman integrals in general cannot be expressed as well-studied special functions, they can be calculated systematically and efficiently using the \texttt{AMFlow} method in combination with differential equations in the kinematic space. Therefore, it is constructive to define Feynman integrals as a new class of special functions (or transcedental numbers if there is no kinematic variable). Several crucial avenues for further exploration in this direction are outlined. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_12262 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Reclassifying Feynman integrals as special functions Liu, Zhi-Feng Ma, Yan-Qing Wang, Chen-Yu High Energy Physics - Phenomenology High Energy Physics - Theory Although Feynman integrals in general cannot be expressed as well-studied special functions, they can be calculated systematically and efficiently using the \texttt{AMFlow} method in combination with differential equations in the kinematic space. Therefore, it is constructive to define Feynman integrals as a new class of special functions (or transcedental numbers if there is no kinematic variable). Several crucial avenues for further exploration in this direction are outlined. |
| title | Reclassifying Feynman integrals as special functions |
| topic | High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2311.12262 |