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The momentum amplituhedron

Damgaard, David ; Ferro, Livia ; Lukowski, Tomasz ; Parisi, Matteo

The journal of high energy physics, 2019-08, Vol.2019 (8), p.1-22, Article 42 [Periódico revisado por pares]

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Título:
The momentum amplituhedron
Autor: Damgaard, David ; Ferro, Livia ; Lukowski, Tomasz ; Parisi, Matteo
Assuntos: Amplitudes ; Canonical forms ; Classical and Quantum Gravitation ; Elementary Particles ; Helicity ; Kinematics ; Momentum ; Physics ; Physics and Astronomy ; Quantum Field Theories ; Quantum Field Theory ; Quantum Physics ; Regular Article - Theoretical Physics ; Relativity Theory ; Scattering ; Scattering Amplitudes ; Singularities ; String Theory ; Supersymmetric Gauge Theory ; Yang-Mills theory
É parte de: The journal of high energy physics, 2019-08, Vol.2019 (8), p.1-22, Article 42
Descrição: A bstract In this paper we define a new object, the momentum amplituhedron, which is the long sought-after positive geometry for tree-level scattering amplitudes in N = 4 super Yang-Mills theory in spinor helicity space. Inspired by the construction of the ordinary amplituhedron, we introduce bosonized spinor helicity variables to represent our external kinematical data, and restrict them to a particular positive region. The momentum amplituhedron M n,k is then the image of the positive Grassmannian via a map determined by such kinematics. The scattering amplitudes are extracted from the canonical form with logarithmic singularities on the boundaries of this geometry.
Editor: Berlin/Heidelberg: Springer Berlin Heidelberg
Idioma: Inglês

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