Gauge invariant counterparts and quantization of systems under holonomic constraints

Details Gauge invariant counterparts and quantization of systems under holonomic constraints Gauge invariant counterparts and quantization of systems under holonomic constraints

2004-11-15

arxiv.org/abs/hep-th/0411138v2

Phys.Lett. B608 (2005) 164-170

Physics

High Energy Physics

High Energy Physics - Theory

5 pages REVTeX, new references added

Scientific paper

10.1016/j.physletb.2004.12.058

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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