Dynamical Systems with First- and Second-Class Constraints and the Second Noether Theorem

1996/12/17 by S. A. Gogilidze, Gogilidze, S. A., Yu. S. Surovtsev +1
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9612180

9 pages, LaTex

arxiv created 1996/12/17 · arxiv updated 2009/11/30

Abstract

Dynamical systems, described by Lagrangians with first- and second-class constraints, are investigated. In the Dirac approach to the generalized Hamiltonian formalism, the classification and separation of the first- and second-class constraints are presented with the help of passing to an equivalent canonical set of constraints. The general structure of second-class constraints is clarified. The method of constructing the generator of symmetry transformations in the second Noether theorem is given. It is proved that second-class constraints do not contribute to the transformation law of the local symmetry which entirely is entirely stipulated by all the first-class constraints.

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