Applications of intersection numbers in physics
Stefan Weinzierl
TL;DR
This review explores the role of intersection numbers of twisted cocycles in physics, detailing computation methods and illustrating their applications in scattering amplitudes, Feynman integral reduction, and lattice correlation functions.
Contribution
It introduces a method for computing intersection numbers and demonstrates their relevance across multiple physics applications.
Findings
Intersection numbers relate to tree-level scattering amplitudes in CHY-formalism
They assist in reducing Feynman integrals to master integrals
They are applicable in calculating lattice correlation functions
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.
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