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

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

2008-07-16

arxiv.org/abs/0807.2630v1

Rept.Math.Phys.64:49-58,2009

Physics

High Energy Physics

High Energy Physics - Theory

8 pages

Scientific paper

10.1016/S0034-4877(09)90019-2

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.

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