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arXiv · hep-th/0411138

Gauge invariant counterparts and quantization of systems under holonomic constraints

M. I. Krivoruchenko·Amand Faessler·A. A. Raduta·C. Fuchs
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Abstract

Systems under holonomic constraints are classified within the generalized Hamiltonian framework as second-class constraints systems. We show that each system of point particles with holonomic constraints has a hidden gauge symmetry which allows to quantize it in the original phase space as a first-class constraints system. The proposed method is illustrated with quantization of a point particle moving on an $n-1$-dimensional sphere $S^{n-1}$ as well as its field theory analog the O(n) nonlinear sigma model.

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M. I. Krivoruchenko, Amand Faessler, A. A. Raduta, C. Fuchs. 2005-03-28. Gauge invariant counterparts and quantization of systems under holonomic constraints. https://doi.org/10.1016/j.physletb.2004.12.058

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