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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
ISSN1029-8479
期号11页码:49
合作性质国际
学科领域Physics
学科门类Physics, Particles & Fields
DOI10.1007/JHEP11(2022)049
收录类别SCIE
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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
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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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