INEQUIVALENT QUANTIZATION IN THE SKYRME MODEL

Quantum mechanics on manifolds is not unique, and in general an infinite number of inequivalent quantizations can be considered. These are specified by the induced spin and the induced gauge structures on the manifold. The configuration space of the collective mode in the Skyrme model can be identified with S3 and thus the quantization is not unique. This leads to the different predictions for the physical observables.