Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1998-05-14
Physics
High Energy Physics
High Energy Physics - Theory
latex, 30 pges
Scientific paper
A free spinor field on a noncommutative sphere is described starting from a canonical realization of the enveloping algebra U(u(2|1)). The gauge extension of the model - the Schwinger model on a noncommutative sphere is defined and the model is quantized. The model contains only finite number degrees of freedom and is nonperturbatively UV-regular. The chiral anomaly and the effective actions are calculated. In the nomcommutative limit standard formulas are recovered.
Grosse Harald
Prešnajder Peter
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