2009
DOI: 10.1007/s10773-009-9961-9
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Gauge Symmetries and Dirac Conjecture

Abstract: The gauge symmetries of a constrained system can be deduced from the gauge identities with Lagrange method, or the first-class constraints with Hamilton approach. If Dirac conjecture is valid to a dynamic system, in which all the first-class constraints are the generators of the gauge transformations, the gauge transformations deduced from the gauge identities are consistent with these given by the first-class constraints. Once the equivalence vanishes to a constrained system, in which Dirac conjecture would b… Show more

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Cited by 8 publications
(14 citation statements)
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“…This is consistent with the claim made in Ref. 26, even when the calculations are wrong there. As a matter of fact this example shows that, even getting different gauge transformation laws in both treatments, the direct application of the original theory gives the right physical information and reinforce the fundamental character of the construction.…”
Section: Hamiltonian Analysissupporting
confidence: 93%
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“…This is consistent with the claim made in Ref. 26, even when the calculations are wrong there. As a matter of fact this example shows that, even getting different gauge transformation laws in both treatments, the direct application of the original theory gives the right physical information and reinforce the fundamental character of the construction.…”
Section: Hamiltonian Analysissupporting
confidence: 93%
“…1 )) and using the results 1 and 2 of Section III (N 1 = e, N (p) 1 = g) 1 2 Rank Ω | φ ′ s = N − 1 2 (l + g + e), which of course coincides with (26). Thus the geometrical meaning of g + e is the number of null vectors of Ω | φ ′ s .…”
Section: Formalism Viewpointmentioning
confidence: 63%
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