Renormalization group functions for the Wess–Zumino model: Up to 200 loops through Hopf algebras

2008/01/31 by Marc Bellon, F Schaposnik, Fidel A. Schaposnik · 2 citations
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #hep-th #math-ph #math.MP

paper · pdf · doi:10.1016/j.nuclphysb.2008.02.005

published as Nucl.Phys.A800:517-526,2008 · Changed title, match the version to be published in Nucl. Phys. B 12 pages, 2 tables,

openalex publication_date 2008/02/15 · arxiv created 2008/02/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We obtain the contributions to the renormalization group functions of all the diagrams containing the unique one-loop primitive divergence of a simple supersymmetric Wess--Zumino model, up to more than 200 loops. The asymptotic behavior of the coefficients in the expansion of the anomalous dimension is analyzed.

Citations

• Renormalization in Quantum Field Theory and the Riemann-Hilbert Problem I: The Hopf Algebra Structure of Graphs and the Main Theorem

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