Inequivalent Quantization in the Skyrme Model

H. Ikemori; S. Kitakado; H. Nakatani; H. Otsu; T. Sato

doi:10.1142/s0217751x99001445

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arXiv · hep-th/9811202

Inequivalent Quantization in the Skyrme Model

H. Ikemori·S. Kitakado·H. Nakatani·H. Otsu·T. Sato

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Abstract

Quantum mechanics on manifolds is not unique and in general infinite number of inequivalent quantizations can be considered. They are specified by the induced spin and the induced gauge structures on the manifold. The configuration space of collective mode in the Skyrme model can be identified with $S^{3}$ and thus the quantization is not unique. This leads to the different predictions for the physical observables.

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H. Ikemori, S. Kitakado, H. Nakatani, H. Otsu, T. Sato. 1998-11-24. Inequivalent Quantization in the Skyrme Model. https://doi.org/10.1142/s0217751x99001445

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