Renormalization in quantum field theory and the Riemann-Hilbert problem. I: The Hopf algebra structure of graphs and the main theorem

DOI10.1007/s002200050779zbMath1032.81026arXivhep-th/9912092OpenAlexW3100690969MaRDI QIDQ1976647

Dirk Kreimer, Alain Connes

Publication date: 18 March 2004

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9912092

zbMATH Keywords

Feynman graphsBirkhoff decomposition of \(\gamma\)

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Feynman diagrams (81T18) Applications of Lie groups to the sciences; explicit representations (22E70) Applications of functional analysis in quantum physics (46N50)

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