Lie algebras associated to systems of Dyson-Schwinger equations.
From MaRDI portal
Publication:633591
DOI10.1016/j.aim.2010.12.011zbMath1231.16030OpenAlexW2073300256MaRDI QIDQ633591
Publication date: 29 March 2011
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aim.2010.12.011
quantum field theoryLie algebrasoriented graphscombinatorial Dyson-Schwinger equationsConnes-Kreimer Hopf algebrasdecorated rooted trees
Trees (05C05) Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Feynman diagrams (81T18) Applications of Lie (super)algebras to physics, etc. (17B81) Hopf algebras and their applications (16T05) Connections of Hopf algebras with combinatorics (16T30)
Related Items
A new perspective on intermediate algorithms via the Riemann-Hilbert correspondence, Graph grammars, insertion Lie algebras, and quantum field theory, General Dyson-Schwinger equations and systems, Multigraded Dyson–Schwinger systems, Filtrations in Dyson-Schwinger equations: Next-to\(^{\{j \}}\)-leading log expansions systematically
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Hopf-algebraic structure of families of trees
- Classification of systems of Dyson-Schwinger equations in the Hopf algebra of decorated rooted trees.
- Hopf-algebraic structure of combinatorial objects and differential operators
- Hopf algebras, renormalization and noncommutative geometry
- Normal coordinates and primitive elements in the Hopf algebra of renormalization
- Relating the Connes-Kreimer and Grossman-Larson Hopf algebras built on rooted trees
- Combinatorics of (perturbative) quantum field theory
- Finite dimensional comodules over the Hopf algebra of rooted trees
- Quantizations of generalized-Witt algebra and of Jacobson-Witt algebra in the modular case
- Differential algebra structures on families of trees.
- Faà di Bruno subalgebras of the Hopf algebra of planar trees from combinatorial Dyson-Schwinger equations.
- On the structure of Hopf algebras
- Algèbres pré-Lie et algèbres de Hopf liées à la renormalisation
- Combinatorial Hopf algebras
- ON THE ANTIPODE OF KREIMER'S HOPF ALGEBRA
- Combinatorics of rooted trees and Hopf algebras
- Towards cohomology of renormalization: bigrading the combinatorial Hopf algebra of rooted trees