Sequences of trees and higher-order renormalization group equations

DOI10.1063/5.0128752zbMath1520.81132arXiv2209.06576MaRDI QIDQ6111696

Karen Yeats, Loïc Foissy, Unnamed Author

Publication date: 4 August 2023

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.06576

Mathematics Subject Classification ID

Renormalization group methods applied to problems in quantum field theory (81T17)

Cites Work

• Free and cofree Hopf algebras.
• Classification of systems of Dyson-Schwinger equations in the Hopf algebra of decorated rooted trees.
• Hopf algebras, renormalization and noncommutative geometry
• On the Hopf algebra strucutre of perturbative quantum field theories
• Relating the Connes-Kreimer and Grossman-Larson Hopf algebras built on rooted trees
• Renormalization in quantum field theory and the Riemann-Hilbert problem. I: The Hopf algebra structure of graphs and the main theorem
• 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 Lie enveloping algebra of a pre-Lie algebra
• Combinatorics of rooted trees and Hopf algebras
• Renormalization
• Renormalization in quantum field theory and the Riemann-Hilbert problem. II: The \(\beta\)-function, diffeomorphisms and the renormalization group.
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