The amplituhedron and the one-loop Grassmannian measure
文献类型:期刊论文
作者 | Bai, YT; He, S![]() |
刊名 | JOURNAL OF HIGH ENERGY PHYSICS
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出版日期 | 2016 |
期号 | 1页码:112 |
关键词 | Scattering Amplitudes Supersymmetric Gauge Theory Differential And Algebraic Geometry |
DOI | http://dx.doi.org/10.1007/JHEP01(2016)112 |
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. |
学科主题 | Physics |
语种 | 英语 |
源URL | [http://ir.itp.ac.cn/handle/311006/21800] ![]() |
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 | 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. |
推荐引用方式 GB/T 7714 | Bai, YT,He, S,Lam, T,et al. The amplituhedron and the one-loop Grassmannian measure[J]. JOURNAL OF HIGH ENERGY PHYSICS,2016(1):112. |
APA | Bai, YT,He, S,Lam, T,Bai, YT ,He, S ,&Lam, T .(2016).The amplituhedron and the one-loop Grassmannian measure.JOURNAL OF HIGH ENERGY PHYSICS(1),112. |
MLA | Bai, YT,et al."The amplituhedron and the one-loop Grassmannian measure".JOURNAL OF HIGH ENERGY PHYSICS .1(2016):112. |
入库方式: OAI收割
来源:理论物理研究所
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