Scattering Amplitudes from Intersection Theory

Sebastian Mizera

Type: Article

Publication Date: 2018-04-06

Citations: 137

DOI: https://doi.org/10.1103/physrevlett.120.141602

Abstract

We use Picard-Lefschetz theory to prove a new formula for intersection numbers of twisted cocycles associated with a given arrangement of hyperplanes. In a special case when this arrangement produces the moduli space of punctured Riemann spheres, intersection numbers become tree-level scattering amplitudes of quantum field theories in the Cachazo-He-Yuan formulation.

Locations

Physical Review Letters - View - PDF
arXiv (Cornell University) - View - PDF
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