Unique factorization in perturbative QFT

DOI10.1016/S0920-5632(03)80206-2zbMath1030.81017arXivhep-ph/0211188OpenAlexW3097981137MaRDI QIDQ1566292

Dirk Kreimer

Publication date: 1 June 2003

Published in: Nuclear Physics. B. Proceedings Supplements (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-ph/0211188

zbMATH Keywords

Dyson-Schwinger equationsgraph algebrasHopf algebra of graphsLie algebra of graphs

Mathematics Subject Classification ID

Applications of graph theory (05C90) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70) Feynman diagrams (81T18) Applications of Lie (super)algebras to physics, etc. (17B81)

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Cites Work

• Unnamed Item
• Hopf algebras, renormalization and noncommutative geometry
• Renormalization automated by Hopf algebra
• Where do the tedious products of \(\zeta\)'s come from?
• On overlapping divergences
• Exact solutions of Dyson-Schwinger equations for iterated one-loop integrals and propagator-coupling duality
• Towards cohomology of renormalization: bigrading the combinatorial Hopf algebra of rooted trees