Renormalization of gauge fields: a Hopf algebra approach

DOI10.1007/s00220-007-0353-9zbMath1194.81165arXivhep-th/0610137OpenAlexW2111683667MaRDI QIDQ2466836

Walter D. van Suijlekom

Publication date: 16 January 2008

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0610137

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) Hopf algebras and their applications (16T05)

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Cites Work

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• Anatomy of a gauge theory
• The Hopf algebra of Feynman graphs in quantum electrodynamics
• Noncommutative geometry, quantum fields and motives
• 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
• Renormalization
• An Identity in Quantum Electrodynamics

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