%0 Journal Article
%T Group-quantization of non-linear sigma models: particle on S^2 revisited
%A V. Aldaya
%A M. Calixto
%A J. Guerrero
%A F. F. L¨®pez-Ruiz
%J Mathematics
%D 2008
%I arXiv
%R 10.1016/S0034-4877(09)90019-2
%X 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.
%U http://arxiv.org/abs/0807.2630v1