Nonabelian localization for gauge theory on the fuzzy sphere

Details Nonabelian localization for gauge theory on the fuzzy sphere Nonabelian localization for gauge theory on the fuzzy sphere

2007-08-31

arxiv.org/abs/0708.4365v2

J.Phys.Conf.Ser.103:012017,2008

Physics

High Energy Physics

High Energy Physics - Theory

Based on an invited talk given by H.S. at the International Conference ``Noncommutative Geometry and Physics'', April 23-27, 2

Scientific paper

10.1088/1742-6596/103/1/012017

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.

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