Cutting the traintracks: Cauchy, Schubert and Calabi-Yau
文献类型：期刊论文
| 作者 | Cao, Qu5; He, Song1,2,3 ; Tang, Yichao4
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| 刊名 | JOURNAL OF HIGH ENERGY PHYSICS
 |
| 出版日期 | 2023 |
| 期号 | 4页码:72 |
| ISSN号 | 1029-8479 |
| 关键词 | NUMERICAL EVALUATION ITERATED INTEGRALS FEYNMAN-INTEGRALS POLYLOGARITHMS AMPLITUDES UNITARITY |
| DOI | 10.1007/JHEP04(2023)072 |
| 英文摘要 | In this note we revisit the maximal-codimension residues, or leading singularities, of four-dimensional L-loop traintrack integrals with massive legs, both in Feynman parameter space and in momentum (twistor) space. We identify a class of half traintracks as the most general degenerations of traintracks with conventional (0-form) leading singularities, although the integrals themselves still have rigidity [L-1/2] due to lower-loop full traintrack subtopologies. As a warm-up exercise, we derive closed-form expressions for their leading singularities both via (Cauchy's) residues in Feynman parameters, and more geometrically using the so-called Schubert problems in momentum twistor space. For L-loop full traintracks, we compute their leading singularities as integrals of (L-1)-forms, which proves that the rigidity is L-1 as expected; the form is given by an inverse square root of an irreducible polynomial quartic with respect to each variable, which characterizes an (L-1)-dim Calabi-Yau manifold (elliptic curve, K3 surface, etc.) for any L. We also briefly comment on the implications for the symbology of these traintrack integrals. |
| 学科主题 | Physics |
| 语种 | 英语 |
| 源URL | [http://ir.itp.ac.cn/handle/311006/27958]  |
| 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.Hangzhou Inst Adv Study, Sch Fundamental Phys & Math Sci, Hangzhou 310024, Zhejiang, Peoples R China 3.Int Ctr Theoret Phys Asia Pacific, Beijing 100190, Peoples R China 4.Peng Huanwu Ctr Fundamental Theory, Hefei 230026, Anhui, Peoples R China 5.Univ Chinese Acad Sci, Sch Phys Sci, 19A Yuquan Rd, Beijing 100049, Peoples R China 6.Zhejiang Univ, Zhejiang Inst Modern Phys, Dept Phys, Hangzhou 310027, Peoples R China |
| 推荐引用方式 GB/T 7714 | Cao, Qu,He, Song,Tang, Yichao. Cutting the traintracks: Cauchy, Schubert and Calabi-Yau[J]. JOURNAL OF HIGH ENERGY PHYSICS,2023(4):72. |
| APA | Cao, Qu,He, Song,&Tang, Yichao.(2023).Cutting the traintracks: Cauchy, Schubert and Calabi-Yau.JOURNAL OF HIGH ENERGY PHYSICS(4),72. |
| MLA | Cao, Qu,et al."Cutting the traintracks: Cauchy, Schubert and Calabi-Yau".JOURNAL OF HIGH ENERGY PHYSICS .4(2023):72. |
入库方式： OAI收割
来源：理论物理研究所
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