Approximate differential equations for renormalization group functions in models free of vertex divergencies

DOI10.1016/J.NUCLPHYSB.2009.11.002zbMath1203.81123arXiv0907.2296OpenAlexW2040308280MaRDI QIDQ620664

Marc P. Bellon

Publication date: 19 January 2011

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0907.2296

zbMATH Keywords

Wess-Zumino modelSchwinger-Dyson equationbeta-function

Mathematics Subject Classification ID

Model quantum field theories (81T10) Supersymmetric field theories in quantum mechanics (81T60) Renormalization group methods applied to problems in quantum field theory (81T17)

Related Items (7)

Ward-Schwinger-Dyson equations in \(\phi^3_6\) quantum field theory ⋮ Higher loop corrections to a Schwinger-Dyson equation ⋮ Resurgent transseries \& Dyson-Schwinger equations ⋮ Resurgent analysis of Ward-Schwinger-Dyson equations ⋮ An efficient method for the solution of Schwinger-Dyson equations for propagators ⋮ Borel-Écalle resummation of a two-point function ⋮ A Schwinger-Dyson equation in the Borel plane: singularities of the solution

Cites Work

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• Higher loop renormalization of a supersymmetric field theory
• Renormalization group functions for the Wess-Zumino model: up to 200 loops through Hopf algebras
• The QED \(\beta \)-function from global solutions to Dyson-Schwinger equations
• Recursive relations in the core Hopf algebra
• Multiplicative Renormalization and Hopf Algebras
• On the operad of associative algebras with derivation
• 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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