Heriot-Watt Mathematics Report Series
HWM07-28, 28 Aug 2007
Nonabelian localization for gauge theory on the fuzzy sphere
H Steinacker and R J Szabo
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.
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