Graphical Scattering Equations
Barbara Betti, Viktoriia Borovik, Bella Finkel, Bernd Sturmfels, Bailee Zacovic
TL;DR
This paper explores the mathematical structure of scattering equations in particle physics, focusing on how fixing a graph influences the algebraic properties of the equations and their solutions.
Contribution
It introduces a new perspective on the CHY scattering equations by analyzing their behavior under graph restrictions on Mandelstam invariants.
Findings
Characterization of scattering equations on fixed graphs
Insights into algebraic structure related to particle interactions
Potential applications in algebraic statistics and physics
Abstract
The CHY scattering equations on the moduli space play a prominent role at the interface of particle physics and algebraic statistics. We study the scattering correspondence when the Mandelstam invariants are restricted to a fixed graph on vertices.
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Taxonomy
TopicsSpectral Theory in Mathematical Physics · Random Matrices and Applications · advanced mathematical theories