Hopf algebra of non-commutative field theory

DOI10.4171/JNCG/17zbMath1181.81101arXiv0707.4143MaRDI QIDQ2475512

Fabien Vignes-Tourneret, Adrian Tanasa

Publication date: 11 March 2008

Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0707.4143

zbMATH Keywords

renormalizationHopf algebraFeynman diagramslocalityGrosse-Wulkenhaar modelMellin representationnon-commutative field theoryBogoliubov-Parasiuk-Hepp-Zimmerman theoremMoyal vertex form

Mathematics Subject Classification ID

Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Feynman diagrams (81T18) Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30) Noncommutative geometry methods in quantum field theory (81T75) Noncommutative geometry in quantum theory (81R60) Hopf algebras and their applications (16T05)

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