Quantum field theory on the degenerate Moyal space

DOI10.4171/JNCG/66zbMath1198.81183arXiv0803.1035MaRDI QIDQ1959747

Fabien Vignes-Tourneret, Harald Grosse

Publication date: 7 October 2010

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

Full work available at URL: https://arxiv.org/abs/0803.1035

zbMATH Keywords

quantum field theorynon-commutative geometryrenormalizationMoyal space

Mathematics Subject Classification ID

Model quantum field theories (81T10) Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Feynman diagrams (81T18) Noncommutative geometry methods in quantum field theory (81T75) Noncommutative geometry in quantum theory (81R60)

Related Items (3)

Slavnov-Taylor identities, non-commutative gauge theories and infrared divergences ⋮ Renormalization of the commutative scalar theory with harmonic term to all orders ⋮ Constructive renormalization of the 2-dimensional Grosse-Wulkenhaar model

Cites Work

• Renormalization of the noncommutative \(\phi^3\) model through the Kontsevich model
• Divergencies in a field theory on quantum space.
• Quantum field theory on projective modules
• Algebras of distributions suitable for phase-space quantum mechanics. I
• On the unitarity problem in space/time noncommutative theories

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