Labelled tree graphs, Feynman diagrams and disk integrals

doi:http://dx.doi.org/10.1007/JHEP11(2017)144

CORC > 理论物理研究所 > 中国科学院理论物理研究所 > 理论物理所科研产出 > 理论物理所1978-2010年知识产出

	Labelled tree graphs, Feynman diagrams and disk integrals
	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.
刊名	JOURNAL OF HIGH ENERGY PHYSICS
	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
内容类型	期刊论文
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.