Group-quantization of non-linear sigma models: particle on S^2 revisited

Abstract

We present the quantum mechanics of "partial-trace" non-linear sigma models, on the grounds of a fully symmetry-based procedure. After the general scheme is sketched, the particular example of a particle on the two-sphere is explicitly developed. As a remarkable feature, no explicit constraint treatment is required nor ordering ambiguities do appear. Moreover, the energy spectrum is recovered without extra terms in the curvature of the sphere.

8 pages

References in corpus (1)

• Group-cohomology refinement to classify $G$-symplectic manifolds

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