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arXiv · hep-th/9912050

The Origin of Chiral Anomaly and the Noncommutative Geometry

Peter Presnajder
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Abstract

We describe the scalar and spinor fields on noncommutative sphere starting from canonical realizations of the enveloping algebra ${\cal A}={\cal U}{u(2))}$. The gauge extension of a free spinor model, the Schwinger model on a noncommutative sphere, is defined and the model is quantized. The noncommutative version of the model contains only a finite number of dynamical modes and is non-perturbatively UV-regular. An exact expresion for the chiral anomaly is found. In the commutative limit the standard formula is recovered.

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Peter Presnajder. 1999-12-13. The Origin of Chiral Anomaly and the Noncommutative Geometry. https://doi.org/10.1063/1.533271

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