Recursive relations in the core Hopf algebra
arXiv:0903.2849 · doi:10.1016/j.nuclphysb.2009.04.025
Abstract
We study co-ideals in the core Hopf algebra underlying a quantum field theory.
11 pages
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- Quantization of gauge fields, graph polynomials and graph cohomology
- The QCD beta-function from global solutions to Dyson-Schwinger equations
- The structure of renormalization Hopf algebras for gauge theories I: Representing Feynman graphs on BV-algebras
- Gravity-Matter Feynman Rules for any Valence
- Diffeomorphisms of quantum fields
- On the self-consistency of off-shell Slavnov-Taylor identities in QCD
- Approximate Differential Equations for Renormalization Group Functions in Models Free of Vertex Divergencies
- Renormalization and resolution of singularities
- Some combinatorial aspects of quantum field theory
- Graph complexes and Feynman rules
- Gauge Symmetries and Renormalization
- Higher loop corrections to a Schwinger--Dyson equation
- Algebraic Structures in local QFT
- Log-Expansions from Combinatorial Dyson-Schwinger Equations
- Field diffeomorphisms and the algebraic structure of perturbative expansions
- Algebraic Structures in the Coupling of Gravity to Gauge Theories
- Algebraic Interplay between Renormalization and Monodromy
- Propagator-cancelling scalar fields
- Three Etudes in QFT
- Feynman diagrams and their algebraic lattices