Feynman graphs in perturbative quantum field theory

Details Feynman graphs in perturbative quantum field theory Feynman graphs in perturbative quantum field theory

2009-12-22

arxiv.org/abs/0912.4364v1

Physics

Mathematical Physics

24 pages, talk given at the conference "Asymptotics in Dynamics, Geometry and PDEs; Generalized Borel Summation", Pisa, Octobe

Scientific paper

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.

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