Scattering forms, worldsheet forms and amplitudes from subspaces
文献类型：期刊论文
| 作者 | Zhang, Y2; He, S2 ; Yan, GW; Zhang, C2
|
| 刊名 | JOURNAL OF HIGH ENERGY PHYSICS
 |
| 出版日期 | 2018 |
| 期号 | 8页码:40 |
| ISSN号 | 1029-8479 |
| DOI | 10.1007/JHEP08(2018)040 |
| 英文摘要 | We 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. |
| 学科主题 | Physics |
| 语种 | 英语 |
| 源URL | [http://ir.itp.ac.cn/handle/311006/22840]  |
| 专题 | 理论物理研究所_理论物理所1978-2010年知识产出 |
| 作者单位 | 1.Univ Chinese Acad Sci, 19A Yuquan Rd, Beijing 100049, Peoples R China 2.Chinese Acad Sci, Inst Theoret Phys, CAS Key Lab Theoret Phys, Beijing 100190, Peoples R China 3.Tsinghua Univ, Inst Adv Study, Beijing 100084, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhang, Y,He, S,Yan, GW,et al. Scattering forms, worldsheet forms and amplitudes from subspaces[J]. JOURNAL OF HIGH ENERGY PHYSICS,2018(8):40. |
| APA | Zhang, Y,He, S,Yan, GW,&Zhang, C.(2018).Scattering forms, worldsheet forms and amplitudes from subspaces.JOURNAL OF HIGH ENERGY PHYSICS(8),40. |
| MLA | Zhang, Y,et al."Scattering forms, worldsheet forms and amplitudes from subspaces".JOURNAL OF HIGH ENERGY PHYSICS .8(2018):40. |
入库方式： OAI收割
来源：理论物理研究所
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