Feynman diagrams, Hopf algebras and renormalization

Details Feynman diagrams, Hopf algebras and renormalization Feynman diagrams, Hopf algebras and renormalization

2005-12-06

arxiv.org/abs/math-ph/0512012v2

Physics

Mathematical Physics

12 pages, minor corrections added

Scientific paper

This paper gives a review of Connes-Kreimer formulation of perturbative
renormalization in Quantum Field Theory. We begin with the derivation of the
Feynman calculus, the Hopf algebra structure on Feynman diagrams and we show
the natural occurence of Birkhoff decomposition in perturbative
renormalization. Most of proofs is added in the present paper.

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