Inequivalent Quantization in the Skyrme Model

Details Inequivalent Quantization in the Skyrme Model Inequivalent Quantization in the Skyrme Model

1998-11-24

arxiv.org/abs/hep-th/9811202v1

Int.J.Mod.Phys. A14 (1999) 2977-2992

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, LaTeX2e

Scientific paper

10.1142/S0217751X99001445

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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