Combinatoric explosion of renormalization tamed by Hopf algebra: 30-loop Padé-Borel resummation.

DOI10.1016/S0370-2693(00)00051-4zbMath1049.81569arXivhep-th/9912093OpenAlexW3105348077MaRDI QIDQ5929219

Dirk Kreimer, David J. Broadhurst

Publication date: 18 April 2001

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

Full work available at URL: https://arxiv.org/abs/hep-th/9912093

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Feynman diagrams (81T18)

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Uses Software

• REDUCE
• OEIS

Cites Work

• Unnamed Item
• Hopf algebras, renormalization and noncommutative geometry
• Renormalization automated by Hopf algebra
• On overlapping divergences
• Chen's iterated integral represents the operator product expansion