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He, S; Zhang, C
Notes on scattering amplitudes as differential forms
发表期刊JOURNAL OF HIGH ENERGY PHYSICS
语种英语
摘要Inspired by the idea of viewing amplitudes in N = 4 SYM as differential forms on momentum twistor space, we introduce differential forms on the space of spinor variables, which combine helicity amplitudes in any four-dimensional gauge theory as a single object. In this note we focus on such differential forms in N = 4 SYM, which can also be thought of as "bosonizing" superamplitudes in non-chiral superspace. Remarkably all tree-level amplitudes in N = 4 SYM combine to a d log form in spinor variables, which is given by push forward of canonical forms of Grassmannian cells. The tree forms can also be obtained using BCFW or inverse-soft construction, and we present all-multiplicity expression for MHV and NMHV forms to illustrate their simplicity. Similarly all-loop planar integrands can be naturally written as d log forms in the Grassmannian/on-shell-diagram picture, and we expect the same to hold beyond the planar limit. Just as the form in momentum twistor space reveals underlying positive geometry of the amplituhedron, the form in terms of spinor variables strongly suggests an "amplituhedron in momentum space". We initiate the study of its geometry by connecting it to the moduli space of Witten's twistor-string theory, which provides a push forward formula for tree forms in N = 4 SYM.
2018
ISSN1029-8479
期号10页码:54
学科领域Physics
学科门类Physics, Particles & Fields
DOI10.1007/JHEP10(2018)054
收录类别SCIE
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被引频次:2[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/22800
专题理论物理所科研产出_SCI论文
作者单位Chinese Acad Sci, Inst Theoret Phys, CAS Key Lab Theoret Phys, 55 Zhong Guan Cun East St, Beijing 100190, Peoples R China; Univ Chinese Acad Sci, Sch Phys Sci, 19A Yuquan Rd, Beijing 100049, Peoples R China
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He, S,Zhang, C. Notes on scattering amplitudes as differential forms[J]. JOURNAL OF HIGH ENERGY PHYSICS,2018(10):54.
APA He, S,&Zhang, C.(2018).Notes on scattering amplitudes as differential forms.JOURNAL OF HIGH ENERGY PHYSICS(10),54.
MLA He, S,et al."Notes on scattering amplitudes as differential forms".JOURNAL OF HIGH ENERGY PHYSICS .10(2018):54.
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