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On Admissible Gauges for Constrained Systems | | S. A. Gogilidze
; A. M. Khvedelidze
; V. N. Pervushin
; | | Date: |
28 Apr 1995 | | Journal: | Phys.Rev. D53 (1996) 2160-2172 | | 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 . | | Source: | arXiv, hep-th/9504154 | | Services: | Forum | Review | PDF | Favorites | |
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