Combinatorics of renormalization as matrix calculus

DOI10.1016/j.physletb.2005.11.001zbMath1247.81319arXivhep-th/0508154OpenAlexW2050095682MaRDI QIDQ453928

Joseph C. Várilly, Kurusch Ebrahimi-Fard, Li Guo, José M. Gracia-Bondía

Publication date: 30 September 2012

Published in: Physics Letters. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0508154

zbMATH Keywords

dimensional regularizationmultiplicative renormalizationBirkhoff decompositionRota-Baxter operatorsHopf algebra of renormalizationmatrix calculus

Mathematics Subject Classification ID

Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Feynman diagrams (81T18)

Related Items (9)

A new perspective on intermediate algorithms via the Riemann-Hilbert correspondence ⋮ Rota-Baxter algebras and new combinatorial identities ⋮ Shuffle relations for regularised integrals of symbols ⋮ Representations of the Laurent series Rota-Baxter algebras and regular-singular decompositions ⋮ On the stability of some groups of formal diffeomorphisms by the Birkhoff decomposition ⋮ Rota-Baxter algebras and dendriform algebras. ⋮ Birkhoff type decompositions and the Baker-Campbell-Hausdorff recursion ⋮ A Lie theoretic approach to renormalization ⋮ Hopf Algebras in Renormalisation

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