Structures in Feynman Graphs -Hopf Algebras and Symmetries
classification
✦ hep-th
math.QA
keywords
graphsalgebrascombinatorialconsequencesdecompositiondiscusseddyson--schwingeremphasis
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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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