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

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

2004-12-06

arxiv.org/abs/hep-th/0412052v3

Phys.Rev. D71 (2005) 045017; Erratum-ibid. D71 (2005) 069905

Physics

High Energy Physics

High Energy Physics - Theory

Latex2e, 30 pages, 4 figures, the topological charge for a monopole configuration is corrected, reference added, the final ver

Scientific paper

10.1103/PhysRevD.71.045017

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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