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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.
Labelled tree graphs, Feynman diagrams and disk integrals
发表期刊JOURNAL OF HIGH ENERGY PHYSICS
语种英语
关键词Scattering Amplitudes SuperStrings And Heterotic Strings
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.
2017
期号11页码:144
学科领域Physics
DOIhttp://dx.doi.org/10.1007/JHEP11(2017)144
项目资助者Thousand Young Talents program ; Thousand Young Talents program ; Thousand Young Talents program ; Thousand Young Talents program ; CAS ; CAS ; CAS ; CAS
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被引频次:7[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
专题理论物理所科研产出_SCI论文
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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