| Title | Wronskian factorizations and Broadhurst-Mellit determinant formulae |
| 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 | FEYNMAN-INTEGRALS SUNRISE GRAPH ELECTRON G-2 ISING-CLASS DIAGRAMS MOMENTS ORDER |
| Issue Date | 2018 |
| Publisher | COMMUNICATIONS IN NUMBER THEORY AND PHYSICS |
| Citation | COMMUNICATIONS IN NUMBER THEORY AND PHYSICS. 2018, 12(2), 355-407. |
| Abstract | Drawing on Vanhove's contributions to mixed Hodge structures for Feynman integrals in two-dimensional quantum field theory, we compute two families of determinants whose entries are Bessel moments. Via explicit factorizations of certain Wronskian determinants, we verify two recent conjectures proposed by Broadhurst and Mellit, concerning determinants of arbitrary sizes. With some extensions to our methods, we also relate two more determinants of Broadhurst-Mellit to the logarithmic Mahler measures of certain polynomials. |
| URI | http://hdl.handle.net/20.500.11897/524935 |
| ISSN | 1931-4523 |
| DOI | 10.4310/CNTP.2018.v12.n2.a5 |
| Indexed | SCI(E) |
| Appears in Collections: | 前沿交叉学科研究院 |
