Structures in Feynman Graphs -Hopf Algebras and Symmetries

Details Structures in Feynman Graphs -Hopf Algebras and Symmetries Structures in Feynman Graphs -Hopf Algebras and Symmetries

2002-02-18

arxiv.org/abs/hep-th/0202110v3

Proc.Symp.Pure Math.73:43-78,2005

Physics

High Energy Physics

High Energy Physics - Theory

41 pages, epsf figures, talk given at the "Dennisfest", "Graphs and Patterns in Mathematics and Theoretical Physics, Stony Bro

Scientific paper

We review the combinatorial structure of perturbative quantum field theory
with emphasis given to the decomposition of graphs into primitive ones. The
consequences in terms of unique factorization of Dyson--Schwinger equations
into Euler products are discussed.

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