Bootstrapping octagons in reduced kinematics from A(2) cluster algebras
文献类型:期刊论文
作者 | He, Song1,2,3,4![]() |
刊名 | JOURNAL OF HIGH ENERGY PHYSICS
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出版日期 | 2021 |
期号 | 10页码:84 |
ISSN号 | 1029-8479 |
DOI | 10.1007/JHEP10(2021)084 |
英文摘要 | Multi-loop scattering amplitudes/null polygonal Wilson loops in N = 4 super-Yang-Mills are known to simplify significantly in reduced kinematics, where external legs/edges lie in an 1 + 1 dimensional subspace of Minkowski spacetime (or boundary of the AdS(3) subspace). Since the edges of a 2n-gon with even and odd labels go along two different null directions, the kinematics is reduced to two copies of G(2, n)/T similar to A(n-3). In the simplest octagon case, we conjecture that all loop amplitudes and Feynman integrals are given in terms of two overlapping A(2) functions (a special case of two-dimensional harmonic polylogarithms): in addition to the letters v, 1 + v, w, 1 + w of A(1) x A(1), there are two letters v - w, 1 - vw mixing the two sectors but they never appear together in the same term; these are the reduced version of four-mass-box algebraic letters. Evidence supporting our conjecture includes all known octagon amplitudes as well as new computations of multi-loop integrals in reduced kinematics. By leveraging this alphabet and conditions on first and last entries, we initiate a bootstrap program in reduced kinematics: within the remarkably simple space of overlapping A(2) functions, we easily obtain octagon amplitudes up to two-loop NMHV and three-loop MHV. We also briefly comment on the generalization to 2n-gons in terms of A(2) functions and beyond. |
学科主题 | Physics |
语种 | 英语 |
源URL | [http://ir.itp.ac.cn/handle/311006/27592] ![]() |
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.Peng Huanwu Ctr Fundamental Theory, Hefei 230026, Anhui, Peoples R China 3.UCAS, Hangzhou Inst Adv Study, Sch Fundamental Phys & Math Sci, Hangzhou 310024, Zhejiang, Peoples R China 4.ICTP AP Int Ctr Theoret Phys Asia Pacific, Beijing, Peoples R China 5.Univ Chinese Acad Sci, Sch Phys Sci, 19A Yuquan Rd, Beijing 100049, Peoples R China 6.Peking Univ, Sch Phys, Beijing 100871, Peoples R China |
推荐引用方式 GB/T 7714 | He, Song,Li, Zhenjie,Tang, Yichao,et al. Bootstrapping octagons in reduced kinematics from A(2) cluster algebras[J]. JOURNAL OF HIGH ENERGY PHYSICS,2021(10):84. |
APA | He, Song,Li, Zhenjie,Tang, Yichao,&Yang, Qinglin.(2021).Bootstrapping octagons in reduced kinematics from A(2) cluster algebras.JOURNAL OF HIGH ENERGY PHYSICS(10),84. |
MLA | He, Song,et al."Bootstrapping octagons in reduced kinematics from A(2) cluster algebras".JOURNAL OF HIGH ENERGY PHYSICS .10(2021):84. |
入库方式: OAI收割
来源:理论物理研究所
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