ITP OpenIR  > SCI期刊论文
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
Source PublicationJOURNAL OF HIGH ENERGY PHYSICS
Language英语
KeywordScattering Amplitudes SuperStrings And Heterotic Strings
AbstractIn 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
Issue11Pages:144
Subject AreaPhysics
DOIhttp://dx.doi.org/10.1007/JHEP11(2017)144
Funding OrganizationThousand Young Talents program ; Thousand Young Talents program ; Thousand Young Talents program ; Thousand Young Talents program ; CAS ; CAS ; CAS ; CAS
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Cited Times:14[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/21930
CollectionSCI期刊论文
Corresponding AuthorGao, 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.
Recommended Citation
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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