The positive geometry for \(\varphi^p\) interactions

DOI10.1007/JHEP10(2019)271zbMath1427.81179arXiv1906.02985MaRDI QIDQ2283549

Prashanth Raman

Publication date: 2 January 2020

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.02985

zbMATH Keywords

scattering amplitudesdifferential and algebraic geometry

Mathematics Subject Classification ID

Model quantum field theories (81T10) Applications of differential geometry to physics (53Z05) (2)-body potential quantum scattering theory (81U05)

Related Items

Celebrating Loday's associahedron ⋮ Algebraic branch points at all loop orders from positive kinematics and wall crossing ⋮ Scattering amplitudes and simple canonical forms for simple polytopes ⋮ Constraining the weights of Stokes polytopes using BCFW recursions for \(\varphi^4\) ⋮ One-loop integrand from generalised scattering equations ⋮ Towards positive geometry of multi scalar field amplitudes. Accordiohedron and effective field theory ⋮ Amplituhedra, and beyond ⋮ The SAGEX review on scattering amplitudes Chapter 7: Positive geometry of scattering amplitudes

Cites Work

• Unnamed Item
• A realization of graph associahedra
• Puzzles and polytope isomorphisms
• A simple way to tell a simple polytope from its graph
• On the cell-growth problem for arbitrary polygons
• String-like dual models for scalar theories
• Scattering forms and the positive geometry of kinematics, color and the worldsheet
• Positive geometries and canonical forms
• Geometric realizations of the accordion complex of a dissection
• Lattice properties of oriented exchange graphs and torsion classes
• Unwinding the amplituhedron in binary
• Scattering forms, worldsheet forms and amplitudes from subspaces
• Hyperbolic geometry and amplituhedra in 1+2 dimensions
• The amplituhedron
• Non-crossing trees, quadrangular dissections, ternary trees, and duality-preserving bijections
• Stokes polytopes: the positive geometry for \({\varphi}^4\) interactions
• Positive amplitudes in the amplituhedron
• Scattering equations and Feynman diagrams
• Grassmannian Geometry of Scattering Amplitudes