Generalized chord diagram expansions of Dyson-Schwinger equations

DOI10.4171/AIHPD/79zbMath1432.81052arXiv1602.02550MaRDI QIDQ2286575

Markus Hihn, Karen Yeats

Publication date: 22 January 2020

Published in: Annales de l'Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.02550

zbMATH Keywords

generating functionsperturbative quantum field theoryDyson-Schwinger equationschord diagrams

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Feynman diagrams (81T18) Electromagnetic interaction; quantum electrodynamics (81V10) Green's functions for elliptic equations (35J08)

Related Items (5)

\( \hbox{Next-to}{}^k\) leading log expansions by chord diagrams ⋮ The combinatorics of a tree-like functional equation for connected chord diagrams ⋮ Connected Chord Diagrams and the Combinatorics of Asymptotic Expansions ⋮ Systems of linear Dyson-Schwinger equations ⋮ Connected chord diagrams and bridgeless maps

Cites Work

• Terminal chords in connected chord diagrams
• Hopf algebras, renormalization and noncommutative geometry
• General Dyson-Schwinger equations and systems
• A chord diagram expansion coming from some Dyson-Schwinger equations
• Faà di Bruno subalgebras of the Hopf algebra of planar trees from combinatorial Dyson-Schwinger equations.
• The Hopf algebra approach to Feynman diagram calculations
• Exact solutions of Dyson-Schwinger equations for iterated one-loop integrals and propagator-coupling duality

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