The core Hopf algebra
arXiv:0902.1223
Abstract
We study the core Hopf algebra underlying the renormalization Hopf algebra.
9p, contributed to the Proceedings for Alain Connes' 60th birthday
References in corpus (7)
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- Mixed Hodge Structures and Renormalization in Physics
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Cited by in corpus (16)
- Diagrammatic Hopf algebra of cut Feynman integrals: the one-loop case
- Recursive relations in the core Hopf algebra
- Combinatorial Dyson-Schwinger equations in noncommutative field theory
- Algebraic structures in quantum gravity
- Approximate Differential Equations for Renormalization Group Functions in Models Free of Vertex Divergencies
- Some combinatorial aspects of quantum field theory
- Graph complexes and Feynman rules
- Gauge Symmetries and Renormalization
- Algebraic Interplay between Renormalization and Monodromy
- Multi-valued Feynman Graphs and Scattering Theory
- Mulitgraded Dyson-Schwinger systems
- Algebra for quantum fields
- Pathlike Co/Bialgebras and their Antipodes with Applications to Bi- and Hopf Algebras Appearing in Topology, Number Theory and Physics
- Feynman diagrams and their algebraic lattices
- A mathematical perspective on the phenomenology of non-perturbative Quantum Field Theory
- A hitchhiker's guide to quantum field theoretic aspects of SYM theory and its deformations