Kinematic numerators from the worldsheet: cubic trees from labelled trees
文献类型：期刊论文
| 作者 | He, Song1,2,3,4 ; Hou, Linghui1; Tian, Jintian1,3; Zhang, Yong1,5
|
| 刊名 | JOURNAL OF HIGH ENERGY PHYSICS
 |
| 出版日期 | 2021 |
| 期号 | 8页码:118 |
| 关键词 | AMPLITUDES REPRESENTATIONS |
| ISSN号 | 1029-8479 |
| DOI | 10.1007/JHEP08(2021)118 |
| 英文摘要 | In this note we revisit the problem of explicitly computing tree-level scattering amplitudes in various theories in any dimension from worldsheet formulas. The latter are known to produce cubic-tree expansion of tree amplitudes with kinematic numerators automatically satisfying Jacobi-identities, once any half-integrand on the worldsheet is reduced to logarithmic functions. We review a natural class of worldsheet functions called "Cayley functions", which are in one-to-one correspondence with labelled trees, and natural expansions of known half-integrands onto them with coefficients that are particularly compact building blocks of kinematic numerators. We present a general formula expressing kinematic numerators of all cubic trees as linear combinations of coefficients of labelled trees, which satisfy Jacobi identities by construction and include the usual combinations in terms of master numerators as a special case. Our results provide an efficient algorithm, which is implemented in a MATHEMATICA package, for computing all tree amplitudes in theories including non-linear sigma model, special Galileon, Yang-Mills-scalar, Einstein-Yang-Mills and Dirac-Born-Infeld. |
| 学科主题 | Physics |
| 语种 | 英语 |
| 源URL | [http://ir.itp.ac.cn/handle/311006/27374]  |
| 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.UCAS, Hangzhou Inst Adv Study, Sch Fundamental Phys & Math Sci, Hangzhou 310024, Peoples R China 2.Chinese Acad Sci, Inst Theoret Phys, CAS Key Lab Theoret Phys, Beijing 100190, Peoples R China 3.ICTP AP Int Ctr Theoret Phys Asia Pacific, Beijing, Peoples R China 4.Univ Chinese Acad Sci, Sch Phys Sci, 19A Yuquan Rd, Beijing 100049, Peoples R China 5.Peng Huanwu Ctr Fundamental Theory, Hefei 230026, Anhui, Peoples R China 6.Uppsala Univ, Dept Phys & Astron, S-75108 Uppsala, Sweden |
| 推荐引用方式 GB/T 7714 | He, Song,Hou, Linghui,Tian, Jintian,et al. Kinematic numerators from the worldsheet: cubic trees from labelled trees[J]. JOURNAL OF HIGH ENERGY PHYSICS,2021(8):118. |
| APA | He, Song,Hou, Linghui,Tian, Jintian,&Zhang, Yong.(2021).Kinematic numerators from the worldsheet: cubic trees from labelled trees.JOURNAL OF HIGH ENERGY PHYSICS(8),118. |
| MLA | He, Song,et al."Kinematic numerators from the worldsheet: cubic trees from labelled trees".JOURNAL OF HIGH ENERGY PHYSICS .8(2021):118. |
入库方式： OAI收割
来源：理论物理研究所
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。