Nonabelian localization for gauge theory on the fuzzy sphere
arXiv:0708.4365 · doi:10.1088/1742-6596/103/1/012017
Abstract
We apply nonabelian equivariant localization techniques to Yang-Mills theory on the fuzzy sphere to write the partition function entirely as a sum over local contributions from critical points of the action. The contributions of the classical saddle-points are evaluated explicitly, and the partition function of ordinary Yang-Mills theory on the sphere is recovered in the commutative limit.
Based on an invited talk given by H.S. at the International Conference ``Noncommutative Geometry and Physics'', April 23-27, 2007, Orsay, France. To be published in Journal of Physics Conference Series. V2: references added