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题名: The amplituhedron and the one-loop Grassmannian measure
作者: Bai, YT ;  He, S ;  Lam, T
刊名: JOURNAL OF HIGH ENERGY PHYSICS
出版日期: 2016
期号: 1, 页码:112
关键词: Scattering Amplitudes ;  Supersymmetric gauge theory ;  Differential and Algebraic Geometry
学科分类: Physics
DOI: http://dx.doi.org/10.1007/JHEP01(2016)112
通讯作者: Bai, YT (reprint author), Princeton Univ, Dept Phys, Princeton, NJ 08544 USA. ;  He, S (reprint author), Chinese Acad Sci, Inst Theoret Phys, Beijing 100190, Peoples R China. ;  Lam, T (reprint author), Univ Michigan, Dept Math, 530 Church St, Ann Arbor, MI 48109 USA.
文章类型: Article
英文摘要: All-loop planar scattering amplitudes in maximally supersymmetric Yang-Mills theory can be formulated geometrically in terms of the "amplituhedron". We study the mathematical structures of the one-loop amplituhedron, and present a new formula for its canonical measure, or the one-loop Grassmannian measure formula. Using the recently proposed momentum-twistor diagrams, we show that there is a correspondence between the cells of one-loop amplituhedron, BCFW terms or equivalently on-shell diagrams, and residues of the one-loop Grassmannian formula. In particular, for the first non-trivial case of one-loop NMHV, these structures are naturally associated with a nice geometric picture as polygons in projective space, as we discuss in various illustrative examples.
类目[WOS]: Physics, Particles & Fields
收录类别: SCI
项目资助者: Department of Physics, Princeton University ;  Institute of Theoretical Physics, Chinese Academy of Science, China ;  NSF [DMS-1160726, DMS-1464693] ;  Simons Fellowship [341949]
语种: 英语
Citation statistics: 
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/21800
Appears in Collections:理论物理所2016年知识产出_期刊论文

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Bai, YT,He, S,Lam, T. The amplituhedron and the one-loop Grassmannian measure[J]. JOURNAL OF HIGH ENERGY PHYSICS,2016(1):112.
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