Scattering Amplitudes from Intersection Theory
High Energy Physics - Theory
2018-04-11 v2 Mathematical Physics
Algebraic Geometry
math.MP
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.
Cite
@article{arxiv.1711.00469,
title = {Scattering Amplitudes from Intersection Theory},
author = {Sebastian Mizera},
journal= {arXiv preprint arXiv:1711.00469},
year = {2018}
}
Comments
4 pages + appendices, published version