The QED \(\beta \)-function from global solutions to Dyson-Schwinger equations

DOI10.1016/j.aop.2008.05.007zbMath1165.81040arXiv0805.0826OpenAlexW4299435037MaRDI QIDQ1009583

Guillaume van Baalen, Dirk Kreimer, Karen Yeats, David Uminsky

Publication date: 2 April 2009

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0805.0826

zbMATH Keywords

quantum electrodynamicsDyson-Schwinger equationsbeta-function

Mathematics Subject Classification ID

Electromagnetic interaction; quantum electrodynamics (81V10)

Related Items

Non-perturbative completion of Hopf-algebraic Dyson-Schwinger equations, Avoidance of a Landau pole by flat contributions in QED, Resonant resurgent asymptotics from quantum field theory, 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, Approximate differential equations for renormalization group functions in models free of vertex divergencies, Hopf-algebraic renormalization of QED in the linear covariant gauge, Resurgent transseries \& Dyson-Schwinger equations, Feynman diagrams and their algebraic lattices, Multigraded Dyson–Schwinger systems, Rearranging Dyson-Schwinger equations, A GEOMETRIC PERSPECTIVE ON COUNTERTERMS RELATED TO DYSON–SCHWINGER EQUATIONS, The structure of renormalization Hopf algebras for gauge theories. I: Representing Feynman graphs on BV-algebras, THE GLOBAL β-FUNCTIONS FROM SOLUTIONS OF DYSON–SCHWINGER EQUATIONS

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