Rearranging Dyson-Schwinger equations

DOI10.1090/S0065-9266-2010-00612-4zbMath1221.81005arXiv0810.2249OpenAlexW2169008021MaRDI QIDQ3002968

Karen Yeats

Publication date: 24 May 2011

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0810.2249

zbMATH Keywords

Dyson-Schwinger equationsrecursive equationsFeyman diagrams

Mathematics Subject Classification ID

Feynman diagrams (81T18) Electromagnetic interaction; quantum electrodynamics (81V10) Research exposition (monographs, survey articles) pertaining to quantum theory (81-02) Nonperturbative methods of renormalization applied to problems in quantum field theory (81T16) Noncommutative geometry methods in quantum field theory (81T75)

Related Items (10)

Non-perturbative completion of Hopf-algebraic Dyson-Schwinger equations ⋮ Avoidance of a Landau pole by flat contributions in QED ⋮ The QCD \(\beta \)-function from global solutions to Dyson-Schwinger equations ⋮ Diffeomorphisms of quantum fields ⋮ Semiclassical trans-series from the perturbative Hopf-algebraic Dyson-Schwinger equations: \(\phi^3\) QFT in 6 dimensions ⋮ \( \hbox{Next-to}{}^k\) leading log expansions by chord diagrams ⋮ A measure theoretic perspective on the space of Feynman diagrams ⋮ Multigraded Dyson–Schwinger systems ⋮ Connected chord diagrams and bridgeless maps ⋮ Renormalization and Mellin Transforms

Uses Software

• OEIS

Cites Work

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• On the large order behavior of \(\Phi^4_4\)
• A Lipatov bound for \(\Phi^4_4\) Euclidean field theory
• Anatomy of a gauge theory
• On motives associated to graph polynomials
• The QED \(\beta \)-function from global solutions to Dyson-Schwinger equations
• The structure of renormalization Hopf algebras for gauge theories. I: Representing Feynman graphs on BV-algebras
• Hopf algebras, renormalization and noncommutative geometry
• Integrable renormalization. II: The general case
• Renormalization of gauge fields: a Hopf algebra approach
• Recursion and growth estimates in renormalizable quantum field theory
• Association of multiple zeta values with positive knots via Feynman diagrams up to 9 loops
• Renormalization
• The Hopf algebra approach to Feynman diagram calculations
• Combinatoric explosion of renormalization tamed by Hopf algebra: 30-loop Padé-Borel resummation.
• Exact solutions of Dyson-Schwinger equations for iterated one-loop integrals and propagator-coupling duality
• Renormalization in quantum field theory and the Riemann-Hilbert problem. II: The \(\beta\)-function, diffeomorphisms and the renormalization group.

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