A Noncommutative Regulation of the Schwinger Model |
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| Authors: | Grosse H Prešnajder P |
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| Institution: | (1) Institut for Theoretical Physics, University of Vienna, Boltzmanngasse 5, A-1090 Vienna, Austria;(2) Department of Theoretical Physics, Comenius University, Mlynská dolina, SK-84215 Bratislava, Slovakia |
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| Abstract: | We start from a realization of the enveloping algebra U(u (2|1)) and a sequences of embeddings of su(2) representations. We define the Schwinger model on a noncommutative sphere S2 in this setting, and obtain an ultraviolet regularized model. The effective actions and the chiral anomaly are calculated. Standard results are obtained in the commutative limit. |
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| Keywords: | ultraviolet regularization Schwinger model noncommutative geometry |
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