ITP OpenIR  > 理论物理所2016年知识产出
The amplituhedron and the one-loop Grassmannian measure
Bai, YT; He, S; Lam, T; 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.
2016
发表期刊JOURNAL OF HIGH ENERGY PHYSICS
期号1页码:112
文章类型Article
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.
关键词Scattering Amplitudes Supersymmetric Gauge Theory Differential And Algebraic Geometry
学科领域Physics
资助者Department of Physics, Princeton University ; Department of Physics, Princeton University ; Institute of Theoretical Physics, Chinese Academy of Science, China ; Institute of Theoretical Physics, Chinese Academy of Science, China ; NSF [DMS-1160726, DMS-1464693] ; NSF [DMS-1160726, DMS-1464693] ; Simons Fellowship [341949] ; Simons Fellowship [341949] ; Department of Physics, Princeton University ; Department of Physics, Princeton University ; Institute of Theoretical Physics, Chinese Academy of Science, China ; Institute of Theoretical Physics, Chinese Academy of Science, China ; NSF [DMS-1160726, DMS-1464693] ; NSF [DMS-1160726, DMS-1464693] ; Simons Fellowship [341949] ; Simons Fellowship [341949]
DOIhttp://dx.doi.org/10.1007/JHEP01(2016)112
收录类别SCI
语种英语
资助者Department of Physics, Princeton University ; Department of Physics, Princeton University ; Institute of Theoretical Physics, Chinese Academy of Science, China ; Institute of Theoretical Physics, Chinese Academy of Science, China ; NSF [DMS-1160726, DMS-1464693] ; NSF [DMS-1160726, DMS-1464693] ; Simons Fellowship [341949] ; Simons Fellowship [341949] ; Department of Physics, Princeton University ; Department of Physics, Princeton University ; Institute of Theoretical Physics, Chinese Academy of Science, China ; Institute of Theoretical Physics, Chinese Academy of Science, China ; NSF [DMS-1160726, DMS-1464693] ; NSF [DMS-1160726, DMS-1464693] ; Simons Fellowship [341949] ; Simons Fellowship [341949]
WOS类目Physics, Particles & Fields
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文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/21800
专题理论物理所2016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.
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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.
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