Scattering Amplitudes from Intersection Theory
arXiv:1711.00469 · doi:10.1103/PhysRevLett.120.141602
Abstract
We use Picard-Lefschetz theory to prove a new formula for intersection numbers of twisted cocycles associated to 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.
4 pages + appendices, published version