Notes on cluster algebras and some all-loop Feynman integrals

doi:10.1007/JHEP06(2021)119

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

	Notes on cluster algebras and some all-loop Feynman integrals
	He, Song 1,2,3,4; Li, Zhenjie 3; Yang, Qinglin 3
刊名	JOURNAL OF HIGH ENERGY PHYSICS
	2021
期号	6 页码:119
关键词	AMPLITUDES
ISSN号	1029-8479
DOI	10.1007/JHEP06(2021)119
英文摘要	We study cluster algebras for some all-loop Feynman integrals, including box-ladder, penta-box-ladder, and double-penta-ladder integrals. In addition to the well-known box ladder whose symbol alphabet is D2 similar or equal to A12, we show that penta-box ladder has an alphabet of D-3 similar or equal to A(3) and provide strong evidence that the alphabet of seven-point double-penta ladders can be identified with a D-4 cluster algebra. We relate the symbol letters to the u variables of cluster configuration space, which provide a gauge-invariant description of the cluster algebra, and we find various sub-algebras associated with limits of the integrals. We comment on constraints similar to extended-Steinmann relations or cluster adjacency conditions on cluster function spaces. Our study of the symbol and alphabet is based on the recently proposed Wilson-loop d log representation, which allows us to predict higher-loop alphabet recursively; by applying it to certain eight-point and nine-point double-penta ladders, we also find D-5 and D-6 cluster functions respectively.
学科主题	Physics
语种	英语
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/27419]
专题	理论物理研究所_理论物理所1978-2010年知识产出
作者单位	1.Chinese Acad Sci, Inst Theoret Phys, CAS Key Lab Theoret Phys, Beijing 100190, Peoples R China 2.UCAS, Hangzhou Inst Adv Study, Sch Fundamental Phys & Math Sci, Hangzhou 310024, Peoples R China 3.ICTP AP Int Ctr Theoret Phys Asia Pacific, Beijing, Peoples R China 4.Univ Chinese Acad Sci, Sch Phys Sci, 19A Yuquan Rd, Beijing 100049, Peoples R China 5.Peng Huanwu Ctr Fundamental Theory, Hefei 230026, Anhui, Peoples R China
推荐引用方式 GB/T 7714	He, Song,Li, Zhenjie,Yang, Qinglin. Notes on cluster algebras and some all-loop Feynman integrals[J]. JOURNAL OF HIGH ENERGY PHYSICS,2021(6):119.
APA	He, Song,Li, Zhenjie,&Yang, Qinglin.(2021).Notes on cluster algebras and some all-loop Feynman integrals.JOURNAL OF HIGH ENERGY PHYSICS(6),119.
MLA	He, Song,et al."Notes on cluster algebras and some all-loop Feynman integrals".JOURNAL OF HIGH ENERGY PHYSICS .6(2021):119.