A treatment of the Schwinger Model within Noncommutative Geometry
High Energy Physics - Theory
2007-05-23 v1
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.
Keywords
Cite
@article{arxiv.hep-th/9805085,
title = {A treatment of the Schwinger Model within Noncommutative Geometry},
author = {H. Grosse and P. Presnajder},
journal= {arXiv preprint arXiv:hep-th/9805085},
year = {2007}
}
Comments
latex, 30 pges