Causal diamonds, cluster polytopes and scattering amplitudes

doi:10.1007/JHEP11(2022)049

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	Causal diamonds, cluster polytopes and scattering amplitudes
	Arkani-Hamed, N.; He, S.; Salvatori, G.; Thomas, H.
刊名	JOURNAL OF HIGH ENERGY PHYSICS
	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
内容类型	期刊论文
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.