Higher loop renormalization of a supersymmetric field theory

DOI10.1016/j.physletb.2007.05.024zbMath1248.81131arXivhep-th/0703185OpenAlexW1970667301MaRDI QIDQ713529

Marc P. Bellon, Gustavo Sergio Lozano, Fidel Arturo Schaposnik

Publication date: 18 October 2012

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

Full work available at URL: https://arxiv.org/abs/hep-th/0703185

zbMATH Keywords

renormalization groupDyson-Schwinger equations

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Feynman diagrams (81T18) Renormalization group methods applied to problems in quantum field theory (81T17) Hopf algebras and their applications (16T05)

Related Items (5)

Approximate differential equations for renormalization group functions in models free of vertex divergencies ⋮ Renormalization group functions for the Wess-Zumino model: up to 200 loops through Hopf algebras ⋮ Borel-Écalle resummation of a two-point function ⋮ The QED \(\beta \)-function from global solutions to Dyson-Schwinger equations ⋮ Analytic results for Schwinger-Dyson equations with a mass term

Cites Work

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• Hopf algebras, renormalization and noncommutative geometry
• On the Hopf algebra strucutre of perturbative quantum field theories
• Renormalization in quantum field theory and the Riemann-Hilbert problem. I: The Hopf algebra structure of graphs and the main theorem
• 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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