On Admissible Gauges for Constrained Systems

Details On Admissible Gauges for Constrained Systems On Admissible Gauges for Constrained Systems

1995-04-28

arxiv.org/abs/hep-th/9504154v1

Phys.Rev.D53:2160-2172,1996

Physics

High Energy Physics

High Energy Physics - Theory

30 pages, latex, no figures

Scientific paper

10.1103/PhysRevD.53.2160

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 .

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