Renormalization group functions for the Wess-Zumino model: up to 200 loops through Hopf algebras

DOI10.1016/j.nuclphysb.2008.02.005zbMath1292.81101arXiv0801.0727OpenAlexW2004050730MaRDI QIDQ952385

Marc P. Bellon, Fidel Arturo Schaposnik

Publication date: 12 November 2008

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

Full work available at URL: https://arxiv.org/abs/0801.0727

Mathematics Subject Classification ID

Renormalization group methods applied to problems in quantum field theory (81T17) Hopf algebras and their applications (16T05)

Related Items (12)

Non-perturbative completion of Hopf-algebraic Dyson-Schwinger equations ⋮ Ward-Schwinger-Dyson equations in \(\phi^3_6\) quantum field theory ⋮ Higher loop corrections to a Schwinger-Dyson equation ⋮ Semiclassical trans-series from the perturbative Hopf-algebraic Dyson-Schwinger equations: \(\phi^3\) QFT in 6 dimensions ⋮ Approximate differential equations for renormalization group functions in models free of vertex divergencies ⋮ Exponential renormalization ⋮ Alien calculus and a Schwinger-Dyson equation: two-point function with a nonperturbative mass scale ⋮ Groupoids and Faà di Bruno formulae for Green functions in bialgebras of trees. ⋮ Resurgent analysis of Ward-Schwinger-Dyson equations ⋮ Higher order corrections to the asymptotic perturbative solution of a Schwinger-Dyson equation ⋮ An efficient method for the solution of Schwinger-Dyson equations for propagators ⋮ A Schwinger-Dyson equation in the Borel plane: singularities of the solution

Cites Work

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• On the structure of analytic renormalization
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• 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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