Applications of intersection numbers in physics
High Energy Physics - Theory
2020-11-06 v1 High Energy Physics - Phenomenology
Abstract
In this review I discuss intersection numbers of twisted cocycles and their relation to physics. After defining what these intersection number are, I will first discuss a method for computing them. This is followed by three examples where intersection numbers appear in physics. These examples are: tree-level scattering amplitudes within the the CHY-formalism, reduction of Feynman integrals to master integrals and correlation functions on the lattice.
Cite
@article{arxiv.2011.02865,
title = {Applications of intersection numbers in physics},
author = {Stefan Weinzierl},
journal= {arXiv preprint arXiv:2011.02865},
year = {2020}
}
Comments
12 pages, contribution to the proceedings of the workshop "MathemAmplitudes 2019: Intersection Theory and Feynman Integrals"