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Dynamical generation of a nontrivial index on the fuzzy 2-sphere | | Hajime Aoki
; Satoshi Iso
; Toshiharu Maeda
; Keiichi Nagao
; | | Date: |
6 Dec 2004 | | Journal: | Phys.Rev. D71 (2005) 045017; Erratum-ibid. D71 (2005) 069905 | | Subject: | hep-th hep-lat hep-ph | | Affiliation: | Saga Univ.), Satoshi Iso (KEK), Toshiharu Maeda (Saga Univ. and KEK) and Keiichi Nagao (KEK | | 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. | | Source: | arXiv, hep-th/0412052 | | Services: | Forum | Review | PDF | Favorites | |
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