A treatment of the Schwinger Model within Noncommutative Geometry

Abstract

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.

arXiv commentlatex, 30 pges

References in corpus (1)

• Gravity coupled with matter and foundation of non-commutative geometry

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