THE USES OF CONNES AND KREIMER'S ALGEBRAIC FORMULATION OF RENORMALIZATION THEORY

DOI10.1142/S0217751X04017835zbMath1080.81046arXivhep-th/0301015MaRDI QIDQ3370286

Héctor Figueroa, José M. Gracia-Bondía

Publication date: 7 February 2006

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0301015

zbMATH Keywords

antipodesrenormalizationFeynman diagramsgraded Hopf algebras

Mathematics Subject Classification ID

Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Noncommutative geometry in quantum theory (81R60)

Related Items (2)

Non-perturbative β-functions via Feynman graphons ⋮ COMBINATORIAL HOPF ALGEBRAS IN QUANTUM FIELD THEORY I

Cites Work

• Unnamed Item
• Hopf algebras, renormalization and noncommutative geometry
• On the Hopf algebra strucutre of perturbative quantum field theories
• Normal coordinates and primitive elements in the Hopf algebra of renormalization
• New mathematical structures in renormalizable quantum field theories
• Improved Epstein--Glaser renormalization in coordinate space. I: Euclidean framework
• Renormalization in quantum field theory and the Riemann-Hilbert problem. I: The Hopf algebra structure of graphs and the main theorem
• Convergence of Bogoliubov's method of renormalization in momentum space
• ON THE ANTIPODE OF KREIMER'S HOPF ALGEBRA
• Coalgebras and Bialgebras in Combinatorics
• Renormalization in quantum field theory and the Riemann-Hilbert problem. II: The \(\beta\)-function, diffeomorphisms and the renormalization group.
• Towards cohomology of renormalization: bigrading the combinatorial Hopf algebra of rooted trees
• The Hopf algebra structure of Connes and Kreimer in Epstein-Glaser renormalization

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