Noncommutative \(SU(N)\) theories, the axial anomaly, Fujikawa's method and the Atiyah-Singer index

DOI10.1016/J.PHYSLETB.2005.06.028zbMath1247.81443arXivhep-th/0504171OpenAlexW1754781467MaRDI QIDQ451760

Carlos Tamarit, Carmelo P. Martin

Publication date: 23 September 2012

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

Full work available at URL: https://arxiv.org/abs/hep-th/0504171

zbMATH Keywords

Seiberg-Witten mapnoncommutative gauge theories\(UA(1)\) anomaly

Mathematics Subject Classification ID

Anomalies in quantum field theory (81T50) Noncommutative geometry methods in quantum field theory (81T75) Index theory and related fixed-point theorems on manifolds (58J20)

Cites Work

• Unnamed Item
• Heat kernel expansion: user's manual
• Noncommutative GUTs, Standard Model and \(C,P,T\)
• Space-time noncommutative field theories and unitarity
• Construction of non-Abelian gauge theories on noncommutative spaces
• The standard model on non-commutative space-time

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