The Hopf algebra of Feynman graphs in quantum electrodynamics

DOI10.1007/s11005-006-0092-4zbMath1160.81432arXivhep-th/0602126OpenAlexW2109603654MaRDI QIDQ867321

Walter D. van Suijlekom

Publication date: 15 February 2007

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

Full work available at URL: https://arxiv.org/abs/hep-th/0602126

zbMATH Keywords

Hopf algebrasquantum electrodynamicsperturbative methods of renormalization

Mathematics Subject Classification ID

Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Feynman diagrams (81T18) Electromagnetic interaction; quantum electrodynamics (81V10) Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30)

Related Items

Diagrammatic cancellations and the gauge dependence of QED, Gauge symmetries and renormalization, Non-perturbative graph languages, halting problem and complexity, Algebraic structures in the coupling of gravity to gauge theories, Log expansions from combinatorial Dyson-Schwinger equations, Hopf-algebraic renormalization of QED in the linear covariant gauge, The bialgebra of specified graphs and external structures, The dynamics of non-perturbative phases via Banach bundles, Renormalization of gauge fields: a Hopf algebra approach, Doubling bialgebras of graphs and Feynman rules, Nonlinear algebra and Bogoliubov's recursion, GEOMETRICALLY RELATING MOMENTUM CUT-OFF AND DIMENSIONAL REGULARIZATION, Gravity-Matter Feynman Rules for any Valence, FROM DYSON–SCHWINGER EQUATIONS TO THE RIEMANN–HILBERT CORRESPONDENCE, Hopf Algebras in Renormalisation, RENORMALIZED QUANTUM YANG–MILLS FIELDS IN CURVED SPACETIME, Recursion and growth estimates in renormalizable quantum field theory, On the pre-Lie algebra of specified Feynman graphs, Quantum field theory meets Hopf algebra, MOTIVIC DYSON–SCHWINGER EQUATIONS

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