On Admissible Gauges for Constrained Systems
Abstract
The {\it {gauge - fixing} } and {\it gaugeless } methods for reducing the phase space in the generalized Hamiltonian dynamics are compared with the aim to define the class of admissible gauges . In the gaugeless approach, the reduced phase space of a Hamiltonian system with the first class constraints is constructed locally, without any gauge fixing, using the following procedure: abelianization of constraints with the subsequent canonical transformation so that some of the new momenta are equal to the new abelian constraints. As a result the corresponding conjugate coordinates are ignorable ( nonphysical ) one while the remaining canonical pairs corresponds to the true dynamical variables. This representation for the phase space prompts us the definition of subclass of admissible gauges -- canonical gauges as functions depending only on the ignorable coordinates. A practical method to recognize the canonical gauge is proposed .
Cite
@article{arxiv.hep-th/9504154,
title = {On Admissible Gauges for Constrained Systems},
author = {S. A. Gogilidze and A. M. Khvedelidze and V. N. Pervushin},
journal= {arXiv preprint arXiv:hep-th/9504154},
year = {2011}
}
Comments
30 pages, latex, no figures