Labelled tree graphs, Feynman diagrams and disk integrals
文献类型：期刊论文
| 作者 | Zhang, Y; Gao, XR; He, S ; Gao, XR (reprint author), Chinese Acad Sci, Inst Theoret Phys, CAS Key Lab Theoret Phys, Zhong Guam Cun East St 55, Beijing 100190, Peoples R China.
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| 刊名 | JOURNAL OF HIGH ENERGY PHYSICS
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| 出版日期 | 2017 |
| 期号 | 11页码:144 |
| 关键词 | Scattering Amplitudes SuperStrings And Heterotic Strings |
| DOI | http://dx.doi.org/10.1007/JHEP11(2017)144 |
| 英文摘要 | In this note, we introduce and study a new class of "half integrands" in Cachazo-He-Yuan (CHY) formula, which naturally generalize the so-called Parke-Taylor factors; these are dubbed Cayley functions as each of them corresponds to a labelled tree graph. The CHY formula with a Cayley function squared gives a sum of Feynman diagrams, and we represent it by a combinatoric polytope whose vertices correspond to Feynman diagrams. We provide a simple graphic rule to derive the polytope from a labelled tree graph, and classify such polytopes ranging from the associahedron to the permutohedron. Furthermore, we study the linear space of such half integrands and find (1) a closed-form formula reducing any Cayley function to a sum of Parke-Taylor factors in the Kleiss-Kuijf basis (2) a set of Cayley functions as a new basis of the space; each element has the remarkable property that its CHY formula with a given Parke-Taylor factor gives either a single Feynman diagram or zero. We also briefly discuss applications of Cayley functions and the new basis in certain disk integrals of superstring theory. |
| 学科主题 | Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000416354700009 |
| 源URL | [http://ir.itp.ac.cn/handle/311006/21930]  |
| 专题 | 理论物理研究所_理论物理所1978-2010年知识产出 |
| 通讯作者 | Gao, XR (reprint author), Chinese Acad Sci, Inst Theoret Phys, CAS Key Lab Theoret Phys, Zhong Guam Cun East St 55, Beijing 100190, Peoples R China. |
| 推荐引用方式 GB/T 7714 | Zhang, Y,Gao, XR,He, S,et al. Labelled tree graphs, Feynman diagrams and disk integrals[J]. JOURNAL OF HIGH ENERGY PHYSICS,2017(11):144. |
| APA | Zhang, Y,Gao, XR,He, S,&Gao, XR .(2017).Labelled tree graphs, Feynman diagrams and disk integrals.JOURNAL OF HIGH ENERGY PHYSICS(11),144. |
| MLA | Zhang, Y,et al."Labelled tree graphs, Feynman diagrams and disk integrals".JOURNAL OF HIGH ENERGY PHYSICS .11(2017):144. |
入库方式： OAI收割
来源：理论物理研究所
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