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Arkani-Hamed, N.; He, S.; Salvatori, G.; Thomas, H. | |
Causal diamonds, cluster polytopes and scattering amplitudes | |
发表期刊 | JOURNAL OF HIGH ENERGY PHYSICS |
语种 | 英语 |
关键词 | ELEMENTS |
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. |
2022 | |
ISSN | 1029-8479 |
期号 | 11页码:49 |
合作性质 | 国际 |
学科领域 | Physics |
学科门类 | Physics, Particles & Fields |
DOI | 10.1007/JHEP11(2022)049 |
收录类别 | SCIE |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.itp.ac.cn/handle/311006/27694 |
专题 | SCI期刊论文 |
作者单位 | 1.[Arkani-Hamed, N.] Inst Adv Study, Sch Nat Sci, 1 Einstein Dr, Princeton, NJ 08540 USA 2.[Arkani-Hamed, N.] Harvard Univ, Ctr Math Sci & Applicat, 20 Garden St, Cambridge, MA 02138 USA 3.[He, S.] Chinese Acad Sci, Inst Theoret Phys, CAS Key Lab Theoret Phys, Beijing 100190, Peoples R China 4.[He, S.] UCAS, Int Ctr Theoret Phys Asia Pacific, Sch Fundamental Phys & Math Sci, Hangzhou Inst Adv Study, Beijing, Peoples R China 5.[He, S.] Peng Huanwu Ctr Fundamental Theory, Hefei 230026, Anhui, Peoples R China 6.[Salvatori, G.] Brown Univ, Dept Phys, 182 Hope St, Providence, RI 02912 USA 7.[Thomas, H.] Univ Quebec Montreal, Dept Math, LaCIM, Montreal, PQ, Canada |
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. |
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Causal diamonds, clu(588KB) | 期刊论文 | 出版稿 | 开放获取 | CC BY-NC-SA | 请求全文 |
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