From local perturbation theory to Hopf and Lie algebras of Feynman graphs

DOI10.1023/A:1010939000212zbMath0995.81077OpenAlexW142846913MaRDI QIDQ5945520

Dirk Kreimer, Alain Connes

Publication date: 20 October 2002

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

Full work available at URL: https://doi.org/10.1023/a:1010939000212

zbMATH Keywords

Riemann-Hilbert problemLie algebrarenormalization groupdiffeomorphismsrenormalizationperturbative quantum field theoryHopf algebra\(\beta\)-functionBirkhoff decomposition

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Feynman diagrams (81T18) Research exposition (monographs, survey articles) pertaining to quantum theory (81-02) Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30) Renormalization group methods applied to problems in quantum field theory (81T17)

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