Nonabelian localization for gauge theory on the fuzzy sphere

Harold Steinacker; Richard J. Szabo

doi:10.1088/1742-6596/103/1/012017

Nonabelian localization for gauge theory on the fuzzy sphere

Harold Steinacker, Richard J. Szabo

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

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. © 2008 IOP Publishing Ltd.

Original language	English
Article number	012017
Journal	Journal of Physics: Conference Series
Volume	103
Issue number	1
DOIs	https://doi.org/10.1088/1742-6596/103/1/012017
Publication status	Published - 1 Feb 2008

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AB - 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. © 2008 IOP Publishing Ltd.

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Nonabelian localization for gauge theory on the fuzzy sphere

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