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- W1978896633 abstract "In previous papers, we studied 't Hooft-Polyakov (TP) monopole configurations in $U(2)$ gauge theory on the fuzzy 2-sphere, and showed that they have nonzero topological charges in the formalism based on the Ginsparg-Wilson (GW) relation. In this paper, we will show an index theorem in the TP monopole background, which is defined in the projected space, and provides meaning of the projection operator. We also extend the index theorem to general configurations which do not satisfy the equation of motion, and show that configuration space can be classified into topological sectors. We further calculate the spectrum of the GW Dirac operator in TP monopole backgrounds, and consider the index theorem in these cases." @default.
- W1978896633 created "2016-06-24" @default.
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- W1978896633 date "2007-04-27" @default.
- W1978896633 modified "2023-10-16" @default.
- W1978896633 title "Ginsparg-Wilson Dirac operator in monopole backgrounds on the fuzzy 2-sphere" @default.
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- W1978896633 doi "https://doi.org/10.1103/physrevd.75.085021" @default.
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