FROM DYSON–SCHWINGER EQUATIONS TO THE RIEMANN–HILBERT CORRESPONDENCE

DOI10.1142/S0219887810004427zbMath1194.81167OpenAlexW1970637200MaRDI QIDQ3583046

Ali Shojaei-Fard

Publication date: 26 August 2010

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219887810004427

zbMATH Keywords

combinatorial Dyson-Schwinger equationsConnes-Kreimer Hopf algebra of rooted treesuniversal Hopf algebra of renormalizationConnes-Marcolli's approach to perturbative renormalization

Mathematics Subject Classification ID

Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Electromagnetic interaction; quantum electrodynamics (81V10) Nonperturbative methods of renormalization applied to problems in quantum field theory (81T16) Hopf algebras (aspects of homology and homotopy of topological groups) (57T05) Hopf algebras and their applications (16T05)

Related Items (6)

A new perspective on intermediate algorithms via the Riemann-Hilbert correspondence ⋮ Kontsevich Graphons ⋮ A GEOMETRIC PERSPECTIVE ON COUNTERTERMS RELATED TO DYSON–SCHWINGER EQUATIONS ⋮ Counterterms in the context of the universal Hopf algebra of renormalization ⋮ MOTIVIC DYSON–SCHWINGER EQUATIONS ⋮ THE GLOBAL β-FUNCTIONS FROM SOLUTIONS OF DYSON–SCHWINGER EQUATIONS

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