Feynman graphs in perturbative quantum field theory
Mathematical Physics
2009-12-23 v1 High Energy Physics - Phenomenology
math.MP
Abstract
In this talk we discuss mathematical structures associated to Feynman graphs. Feynman graphs are the backbone of calculations in perturbative quantum field theory. The mathematical structures -- apart from being of interest in their own right -- allow to derive algorithms for the computation of these graphs. Topics covered are the relations of Feynman integrals to periods, shuffle algebras and multiple polylogarithms.
Cite
@article{arxiv.0912.4364,
title = {Feynman graphs in perturbative quantum field theory},
author = {Christian Bogner and Stefan Weinzierl},
journal= {arXiv preprint arXiv:0912.4364},
year = {2009}
}
Comments
24 pages, talk given at the conference "Asymptotics in Dynamics, Geometry and PDEs; Generalized Borel Summation", Pisa, October 2009