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arXiv · 0807.2630

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

V. Aldaya·M. Calixto·J. Guerrero·F. F. López-Ruiz
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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.

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V. Aldaya, M. Calixto, J. Guerrero, F. F. López-Ruiz. 2008-07-16. Group-quantization of non-linear sigma models: particle on S^2 revisited. https://doi.org/10.1016/s0034-4877(09)90019-2

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