ITP OpenIR  > 理论物理所2017年知识产出
Labelled tree graphs, Feynman diagrams and disk integrals
Gao, XR; He, S; Zhang, Y; 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.
2017
发表期刊JOURNAL OF HIGH ENERGY PHYSICS
期号11页码:144
文章类型Article
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.
关键词Scattering Amplitudes SuperStrings And Heterotic Strings
学科领域Physics
资助者Thousand Young Talents program ; Thousand Young Talents program ; CAS ; CAS ; Thousand Young Talents program ; Thousand Young Talents program ; CAS ; CAS
DOIhttp://dx.doi.org/10.1007/JHEP11(2017)144
关键词[WOS]AMPLITUDE
语种英语
资助者Thousand Young Talents program ; Thousand Young Talents program ; CAS ; CAS ; Thousand Young Talents program ; Thousand Young Talents program ; CAS ; CAS
WOS类目Physics, Particles & Fields
WOS记录号WOS:000416354700009
引用统计
被引频次:5[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/21930
专题理论物理所2017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
Gao, XR,He, S,Zhang, Y,et al. Labelled tree graphs, Feynman diagrams and disk integrals[J]. JOURNAL OF HIGH ENERGY PHYSICS,2017(11):144.
APA Gao, XR,He, S,Zhang, Y,&Gao, XR .(2017).Labelled tree graphs, Feynman diagrams and disk integrals.JOURNAL OF HIGH ENERGY PHYSICS(11),144.
MLA Gao, XR,et al."Labelled tree graphs, Feynman diagrams and disk integrals".JOURNAL OF HIGH ENERGY PHYSICS .11(2017):144.
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