Noncommutative geometry, gauge theory and renormalization

zbMath1192.81329arXiv0910.5158MaRDI QIDQ3558453

Axel de Goursac

Publication date: 5 May 2010

Full work available at URL: https://arxiv.org/abs/0910.5158

zbMATH Keywords

noncommutative geometryrenormalizationnoncommutative gauge theorynoncommutative field theoryMoyal space\(\varepsilon\)-graded algebraGrosse-Wulkenhaar action

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) Research exposition (monographs, survey articles) pertaining to quantum theory (81-02) Nonperturbative methods of renormalization applied to problems in quantum field theory (81T16) Noncommutative geometry methods in quantum field theory (81T75) Renormalization group methods applied to problems in quantum field theory (81T17) Deformation quantization, star products (53D55) Noncommutative geometry (à la Connes) (58B34)

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