GROUP-QUANTIZATION OF NONLINEAR SIGMA MODELS: PARTICLE ON S-2 REVISITED

DOI: 
Publication date: 
01/10/2009
Main author: 
Aldaya, V.
IAA authors: 
Aldaya, V.; Lopez-Ruiz, F. F.
Authors: 
Aldaya, V.; Calixto, M.; Guerrero, J.; Lopez-Ruiz, F. F.
Journal: 
REPORTS ON MATHEMATICAL PHYSICS
Publication type: 
Article
Volume: 
64
Pages: 
49-58
Number: 
Abstract: 
We present the quantum mechanics of 'partial-trace' nonlinear 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.
Database: 
WOK
Keywords: 
group quantization; particle sigma models; Lie group representations