Recursive relations in the core Hopf algebra

DOI10.1016/j.nuclphysb.2009.04.025zbMath1196.81199arXiv0903.2849OpenAlexW2147919298MaRDI QIDQ1960061

Dirk Kreimer, Walter D. van Suijlekom

Publication date: 12 October 2010

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

Full work available at URL: https://arxiv.org/abs/0903.2849

zbMATH Keywords

AdS/CFTDyson-Schwinger equations

Mathematics Subject Classification ID

String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Hopf algebras and their applications (16T05)

Related Items

Higher loop corrections to a Schwinger-Dyson equation ⋮ The QCD \(\beta \)-function from global solutions to Dyson-Schwinger equations ⋮ Diffeomorphisms of quantum fields ⋮ Gauge symmetries and renormalization ⋮ Algebraic structures in the coupling of gravity to gauge theories ⋮ Field diffeomorphisms and the algebraic structure of perturbative expansions ⋮ Approximate differential equations for renormalization group functions in models free of vertex divergencies ⋮ Log expansions from combinatorial Dyson-Schwinger equations ⋮ Combinatorial Dyson-Schwinger equations in noncommutative field theory ⋮ Feynman diagrams and their algebraic lattices ⋮ Diagrammatic Hopf algebra of cut Feynman integrals: the one-loop case ⋮ Multigraded Dyson–Schwinger systems ⋮ Gravity-Matter Feynman Rules for any Valence

Cites Work

• Taming tree amplitudes in general relativity
• Anatomy of a gauge theory
• New recursion relations for tree amplitudes of gluons
• Mixed Hodge structures and renormalization in physics
• The structure of renormalization Hopf algebras for gauge theories. I: Representing Feynman graphs on BV-algebras
• Hopf algebras, renormalization and noncommutative geometry
• Renormalization of gauge fields: a Hopf algebra approach
• A remark on quantum gravity
• Multiplicative Renormalization and Hopf Algebras
• Renormalization of gauge fields using Hopf algebras
• Renormalization in quantum field theory and the Riemann-Hilbert problem. II: The \(\beta\)-function, diffeomorphisms and the renormalization group.
• Unnamed Item
• Unnamed Item
• Unnamed Item