Schubert problems, positivity and symbol letters
文献类型：期刊论文
| 作者 | Yang, Qinglin1 |
| 刊名 | JOURNAL OF HIGH ENERGY PHYSICS
 |
| 出版日期 | 2022 |
| 期号 | 8页码:168 |
| ISSN号 | 1029-8479 |
| DOI | 10.1007/JHEP08(2022)168 |
| 英文摘要 | We propose a geometrical approach to generate symbol letters of amplitudes/integrals in planar N\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \mathcal{N} $$\end{document} = 4 Super Yang-Mills theory, known as Schubert problems. Beginning with one-loop integrals, we find that intersections of lines in momentum twistor space are always ordered on a given line, once the external kinematics Z is in the positive region G(+)(4, n). Remarkably, cross-ratios of these ordered intersections on a line, which are guaranteed to be positive now, nicely coincide with symbol letters of corresponding Feynman integrals, whose positivity is then concluded directly from such geometrical configurations. In particular, we reproduce from this approach the 18 multiplicative independent algebraic letters for n = 8 amplitudes up to three loops. Finally, we generalize the discussion to two-loop Schubert problems and, again from ordered points on a line, generate a new kind of algebraic letters which mix two distinct square roots together. They have been found recently in the alphabet of two-loop double-box integral with n >= 9, and they are expected to appear in amplitudes at k + l >= 4. |
| 学科主题 | Physics |
| 语种 | 英语 |
| 源URL | [http://ir.itp.ac.cn/handle/311006/27851]  |
| 专题 | 理论物理研究所_理论物理所1978-2010年知识产出 |
| 作者单位 | 1.Chinese Acad Sci, Inst Theoret Phys, CAS Key Lab Theoret Phys, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Phys Sci, 19A Yuquan Rd, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Yang, Qinglin. Schubert problems, positivity and symbol letters[J]. JOURNAL OF HIGH ENERGY PHYSICS,2022(8):168. |
| APA | Yang, Qinglin.(2022).Schubert problems, positivity and symbol letters.JOURNAL OF HIGH ENERGY PHYSICS(8),168. |
| MLA | Yang, Qinglin."Schubert problems, positivity and symbol letters".JOURNAL OF HIGH ENERGY PHYSICS .8(2022):168. |
入库方式： OAI收割
来源：理论物理研究所
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