| Title | Wick rotations, Eichler integrals, and multi-loop Feynman diagrams |
| Authors | Zhou, Yajun |
| Affiliation | Princeton Univ, PACM, Princeton, NJ 08544 USA. Peking Univ, AAIS, Beijing 100871, Peoples R China. Princeton Univ, PACM, Princeton, NJ 08544 USA. Zhou, YJ (reprint author), Peking Univ, AAIS, Beijing 100871, Peoples R China. |
| Keywords | REPRESENTATIONS RAMANUJAN MOMENTS VALUES SERIES |
| Issue Date | 2018 |
| Publisher | COMMUNICATIONS IN NUMBER THEORY AND PHYSICS |
| Citation | COMMUNICATIONS IN NUMBER THEORY AND PHYSICS. 2018, 12(1), 127-192. |
| Abstract | Using contour deformations and integrations over modular forms, we compute certain Bessel moments arising from diagrammatic expansions in two-dimensional quantum field theory. We evaluate these Feynman integrals as either explicit constants or critical values of modular L-series, and verify several recent conjectures of Broadhurst. |
| URI | http://hdl.handle.net/20.500.11897/524966 |
| ISSN | 1931-4523 |
| DOI | 10.4310/CNTP.2018.v12.n1.a5 |
| Indexed | SCI(E) |
| Appears in Collections: | 前沿交叉学科研究院 |
