Cutkosky Rules from Outer Space
High Energy Physics - Theory
2016-07-19 v1
Abstract
We overview recent results on the mathematical foundations of Cutkosky rules. We emphasize that the two operations of shrinking an internal edge or putting internal lines on the mass-shell are natural operation on the cubical chain complex studied in the context of geometric group theory. This together with Cutkosky's theorem regarded as a theorem which informs us about variations connected to the monodromy of Feynman amplitudes allows for a systematic approach to normal and anomalous thresholds, dispersion relations and the optical theorem. In this report we follow [1] closely.
Cite
@article{arxiv.1607.04861,
title = {Cutkosky Rules from Outer Space},
author = {Dirk Kreimer},
journal= {arXiv preprint arXiv:1607.04861},
year = {2016}
}
Comments
8p, talk given at Loops and Legs in Quantum Field Theory, Leipzig, April 24-29 2016, Germany