Recursive relations in the core Hopf algebra

2009/03/17 by Dirk Kreimer, Walter D. van Suijlekom · 2 citations
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #hep-th

paper · pdf · doi:10.1016/j.nuclphysb.2009.04.025

published as Nucl.Phys.B820:682-693,2009 · 11 pages

arxiv created 2009/03/17 · openalex publication_date 2009/05/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04

Abstract

We study co-ideals in the core Hopf algebra underlying a quantum field theory.

Cited by

• Diagrammatic Hopf algebra of cut Feynman integrals: the one-loop case
• The QCD beta-function from global solutions to Dyson-Schwinger equations

Related

• Coalgebras and quantization
• Algebra for quantum fields
• Lessons from Quantum Field Theory - Hopf Algebras and Spacetime Geometries
• Introduction to Hopf algebras in renormalization and noncommutative geometry
• Hopf algebra and renormalization: A brief review