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arXiv · hep-th/9612175

Induced Gauge Structure of Quantum Mechanics on $S^D$

Minoru Hirayama·Hui-Min Zhang·Takeshi Hamada
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Abstract

The Ohnuki-Kitakado (O-K) scheme of quantum mechanics on $S^D$ embedded in $R^{D+1}$ is investigated. Generators satisfying the O-K algebra are written down explicitly in term of the induced gauge potential. A direct method is developed to obtain the generators in covariant form. It is seen that there exists an induced gauge configuration which is trivial on $S^D$ but might cause a nontrivial physical effect in $R^{D+1}$. The relation of the O-K scheme to extended objects such as the 't Hooft-Polyakov monopole is discussed.

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Minoru Hirayama, Hui-Min Zhang, Takeshi Hamada. 1997-03-19. Induced Gauge Structure of Quantum Mechanics on $S^D$. https://doi.org/10.1143/ptp.97.679

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