Causal diamonds, cluster polytopes and scattering amplitudes
文献类型：期刊论文
| 作者 | Arkani-Hamed, N.; He, S. ; Salvatori, G.; Thomas, H.
|
| 刊名 | JOURNAL OF HIGH ENERGY PHYSICS
 |
| 出版日期 | 2022 |
| 期号 | 11页码:49 |
| 关键词 | ELEMENTS |
| ISSN号 | 1029-8479 |
| DOI | 10.1007/JHEP11(2022)049 |
| 英文摘要 | The amplituhedron for tree-level scattering amplitudes in the bi-adjoint phi(3) theory is given by the ABHY associahedron in kinematic space, which has been generalized to give a realization for all finite-type cluster algebra polytopes, labelled by Dynkin diagrams. In this letter we identify a simple physical origin for these polytopes, associated with an interesting (1 + 1)-dimensional causal structure in kinematic space, along with solutions to the wave equation in this kinematic spacetime with a natural positivity property. The notion of time evolution in this kinematic spacetime can be abstracted away to a certain walk, associated with any acyclic quiver, remarkably yielding a finite cluster polytope for the case of Dynkin quivers. The A(n-3), Bn-1 and D-n polytopes are the amplituhedra for n-point tree amplitudes, one-loop tadpole diagrams, and full integrand of one-loop amplitudes. We also introduce a polytope ((D)(n), which chops the D-n polytope in half along a symmetry plane, capturing one-loop amplitudes in a more efficient way. |
| 学科主题 | Physics |
| 语种 | 英语 |
| 源URL | [http://ir.itp.ac.cn/handle/311006/27694]  |
| 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.[Thomas, H.] Univ Quebec Montreal, Dept Math, LaCIM, Montreal, PQ, Canada 2.[Arkani-Hamed, N.] Inst Adv Study, Sch Nat Sci, 1 Einstein Dr, Princeton, NJ 08540 USA 3.[Arkani-Hamed, N.] Harvard Univ, Ctr Math Sci & Applicat, 20 Garden St, Cambridge, MA 02138 USA 4.[He, S.] Chinese Acad Sci, Inst Theoret Phys, CAS Key Lab Theoret Phys, Beijing 100190, Peoples R China 5.[He, S.] UCAS, Int Ctr Theoret Phys Asia Pacific, Sch Fundamental Phys & Math Sci, Hangzhou Inst Adv Study, Beijing, Peoples R China 6.[He, S.] Peng Huanwu Ctr Fundamental Theory, Hefei 230026, Anhui, Peoples R China 7.[Salvatori, G.] Brown Univ, Dept Phys, 182 Hope St, Providence, RI 02912 USA |
| 推荐引用方式 GB/T 7714 | Arkani-Hamed, N.,He, S.,Salvatori, G.,et al. Causal diamonds, cluster polytopes and scattering amplitudes[J]. JOURNAL OF HIGH ENERGY PHYSICS,2022(11):49. |
| APA | Arkani-Hamed, N.,He, S.,Salvatori, G.,&Thomas, H..(2022).Causal diamonds, cluster polytopes and scattering amplitudes.JOURNAL OF HIGH ENERGY PHYSICS(11),49. |
| MLA | Arkani-Hamed, N.,et al."Causal diamonds, cluster polytopes and scattering amplitudes".JOURNAL OF HIGH ENERGY PHYSICS .11(2022):49. |
入库方式： OAI收割
来源：理论物理研究所
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