Dynamical generation of a nontrivial index on the fuzzy 2-sphere
Dec, 2004
30 pages
Published in:
- Phys.Rev.D 71 (2005) 045017,
- Phys.Rev.D 71 (2005) 069905 (erratum)
e-Print:
- hep-th/0412052 [hep-th]
Report number:
- SAGA-HE-218,
- KEK-TH-1000
View in:
Citations per year
Abstract: (arXiv)
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.Note:
- Latex2e, 30 pages, 4 figures, the topological charge for a monopole configuration is corrected, reference added, the final version to appear in Physical Review D (the typos mentioned in the erratum are corrected)
- 11.15.Ex
- 14.80.Hv
- 04.62.+v
- 11.10.Nx
- magnetic monopole
- fermion: Dirac
- sphere: fuzzy
- charge: topological
- index theorem
- gauge field theory: U(2)
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