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题名: Labelled tree graphs, Feynman diagrams and disk integrals
作者: Gao, XR ;  He, S ;  Zhang, Y
刊名: JOURNAL OF HIGH ENERGY PHYSICS
出版日期: 2017
期号: 11, 页码:144
关键词: Scattering Amplitudes ;  Superstrings and Heterotic Strings
学科分类: Physics
DOI: http://dx.doi.org/10.1007/JHEP11(2017)144
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.
文章类型: Article
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.
类目[WOS]: Physics, Particles & Fields
关键词[WOS]: AMPLITUDE
项目资助者: Thousand Young Talents program ;  CAS
语种: 英语
WOS记录号: WOS:000416354700009
Citation statistics: 
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/21930
Appears in Collections:理论物理所2017年知识产出_期刊论文

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Recommended Citation:
Gao, XR,He, S,Zhang, Y. Labelled tree graphs, Feynman diagrams and disk integrals[J]. JOURNAL OF HIGH ENERGY PHYSICS,2017(11):144.
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