An Introduction to Motivic Feynman Integrals
Mathematical Physics
2021-03-30 v2 High Energy Physics - Theory
Algebraic Geometry
math.MP
Abstract
This article gives a short step-by-step introduction to the representation of parametric Feynman integrals in scalar perturbative quantum field theory as periods of motives. The application of motivic Galois theory to the algebro-geometric and categorical structures underlying Feynman graphs is reviewed up to the current state of research. The example of primitive log-divergent Feynman graphs in scalar massless quantum field theory is analysed in detail.
Cite
@article{arxiv.2009.00426,
title = {An Introduction to Motivic Feynman Integrals},
author = {Claudia Rella},
journal= {arXiv preprint arXiv:2009.00426},
year = {2021}
}