General Dyson-Schwinger equations and systems

DOI10.1007/s00220-014-1941-0zbMath1341.81022arXiv1112.2606OpenAlexW2021913191MaRDI QIDQ2447590

Loïc Foissy

Publication date: 28 April 2014

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

Full work available at URL: https://arxiv.org/abs/1112.2606

zbMATH Keywords

Dyson-Schwinger equationsFaà di Bruno Hopf algebraHopf algebra of symmetric functionsHopf algebra of Feynman graphs

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Feynman diagrams (81T18) Noncommutative geometry methods in quantum field theory (81T75) Connections of Hopf algebras with combinatorics (16T30)

Related Items (8)

Ward-Schwinger-Dyson equations in \(\phi^3_6\) quantum field theory ⋮ Graphons and renormalization of large Feynman diagrams ⋮ The combinatorics of a tree-like functional equation for connected chord diagrams ⋮ Polynomial functors and combinatorial Dyson–Schwinger equations ⋮ The dynamics of non-perturbative phases via Banach bundles ⋮ Systems of linear Dyson-Schwinger equations ⋮ Generalized chord diagram expansions of Dyson-Schwinger equations ⋮ On the pre-Lie algebra of specified Feynman graphs

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