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Dynamical generation of a nontrivial index on the fuzzy 2-sphere

Hajime Aoki·Satoshi Iso·Toshiharu Maeda·Keiichi Nagao
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Abstract

In the previous paper hep-th/0312199 we studied the 't Hooft-Polyakov (TP) monopole configuration in the U(2) gauge theory on the fuzzy 2-sphere and showed that it has a nonzero topological charge in the formalism based on the Ginsparg-Wilson relation. In this paper, by showing that the TP monopole configuration is stabler than the U(2) gauge theory without any condensation in the Yang-Mills-Chern-Simons matrix model, we will present a mechanism for dynamical generation of a nontrivial index. We further analyze the instability and decay processes of the U(2) gauge theory and the TP monopole configuration.

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Hajime Aoki, Satoshi Iso, Toshiharu Maeda, Keiichi Nagao. 2005-03-15. Dynamical generation of a nontrivial index on the fuzzy 2-sphere. https://doi.org/10.1103/physrevd.71.045017%2010.1103%2Fphysrevd.71.069905

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