Applications of intersection numbers in physics
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- November 2020
- DOI:
- 10.48550/arXiv.2011.02865
- arXiv:
- arXiv:2011.02865
- Bibcode:
- 2020arXiv201102865W
- Keywords:
-
- High Energy Physics - Theory;
- High Energy Physics - Phenomenology
- E-Print:
- 12 pages, contribution to the proceedings of the workshop "MathemAmplitudes 2019: Intersection Theory and Feynman Integrals"