ITP OpenIR  > SCI期刊论文
He, S1; Yan, GW; Zhang, C1; Zhang, Y1
Scattering forms, worldsheet forms and amplitudes from subspaces
Source PublicationJOURNAL OF HIGH ENERGY PHYSICS
Language英语
AbstractWe present a general construction of two types of differential forms, based on any (n-3)-dimensional subspace in the kinematic space of n massless particles. The first type is the so-called projective, scattering forms in kinematic space, while the second is defined in the moduli space of n-punctured Riemann spheres which we call worldsheet forms. We show that the pushforward of worldsheet forms, by summing over solutions of scattering equations, gives the corresponding scattering forms, which generalizes the results of [1]. The pullback of scattering forms to subspaces can have natural interpretations as amplitudes in terms of Bern-Carrasco-Johansson double-copy construction or Cachazo-He-Yuan formula. As an application of our formalism, we construct in this way a large class of d log scattering forms and worldsheet forms, which are in one-to-one correspondence with non-planar MHV leading singularities in N = 4 super-Yang-Mills. For every leading singularity function, we present a new determinant formula in moduli space, as well as a (combinatoric) polytope and associated scattering form in kinematic space. These include the so-called Cayley cases, where in each case the scattering form is the canonical forms of a convex polytope in the subspace, and scattering equations admit elegant rewritings as a map from the moduli space to the subspace.
2018
ISSN1029-8479
Issue8Pages:40
Subject AreaPhysics
MOST Discipline CataloguePhysics, Particles & Fields
DOI10.1007/JHEP08(2018)040
Indexed BySCIE
Citation statistics
Cited Times:9[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/22840
CollectionSCI期刊论文
Affiliation1.Chinese Acad Sci, Inst Theoret Phys, CAS Key Lab Theoret Phys, Beijing 100190, Peoples R China
2.Univ Chinese Acad Sci, 19A Yuquan Rd, Beijing 100049, Peoples R China
3.Tsinghua Univ, Inst Adv Study, Beijing 100084, Peoples R China
Recommended Citation
GB/T 7714
He, S,Yan, GW,Zhang, C,et al. Scattering forms, worldsheet forms and amplitudes from subspaces[J]. JOURNAL OF HIGH ENERGY PHYSICS,2018(8):40.
APA He, S,Yan, GW,Zhang, C,&Zhang, Y.(2018).Scattering forms, worldsheet forms and amplitudes from subspaces.JOURNAL OF HIGH ENERGY PHYSICS(8),40.
MLA He, S,et al."Scattering forms, worldsheet forms and amplitudes from subspaces".JOURNAL OF HIGH ENERGY PHYSICS .8(2018):40.
Files in This Item:
There are no files associated with this item.
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[He, S]'s Articles
[Yan, GW]'s Articles
[Zhang, C]'s Articles
Baidu academic
Similar articles in Baidu academic
[He, S]'s Articles
[Yan, GW]'s Articles
[Zhang, C]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[He, S]'s Articles
[Yan, GW]'s Articles
[Zhang, C]'s Articles
Terms of Use
No data!
Social Bookmark/Share
All comments (0)
No comment.
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.