The origin of chiral anomaly and the noncommutative geometry

DOI10.1063/1.533271zbMath0979.81083arXivhep-th/9912050OpenAlexW2000134410MaRDI QIDQ2737968

P. Prešnajder

Publication date: 30 August 2001

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

Full work available at URL: https://arxiv.org/abs/hep-th/9912050

zbMATH Keywords

sphereenveloping algebracommutative limitSchwinger modeldynamical modescanonical realizationsgauge extensionnonperturbatively UV regularscalar and spinor fields

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Anomalies in quantum field theory (81T50) Noncommutative geometry methods in quantum field theory (81T75) Noncommutative geometry in quantum theory (81R60) Noncommutative geometry (à la Connes) (58B34)

Related Items (19)

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Cites Work

• General concept of quantization
• The construction of noncommutative manifolds using coherent states
• A noncommutative regularization of the Schwinger model
• Gauge theories on the noncommutative sphere
• Chirality and Dirac operator on noncommutative sphere
• Field theory on a supersymmetric lattice
• Monopoles and solitons in fuzzy physics
• The Dirac operator on the fuzzy sphere
• Finite quantum field theory in noncommutative geometry
• Topologically nontrivial field configurations in noncommutative geometry
• The commutative limit of a matrix geometry
• Noncommutative differential geometry of matrix algebras

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