Reconstruction of higher-stage first-class constraints into the secondary ones

Abstract

Starting from a Lagrangian theory L with first class constraints up to Nth stage, we construct an equivalent Lagrangian with at most secondary first-class constraints presented in a Hamiltonian formulation. The Lagrangian can be obtained by pure algebraic methods, its manifest form in terms of quantities of the initial formulation is found. Local symmetries of are found in a closed form. All the constraints of L turn out to be gauge symmetry generators for .

Original language	English
Article number	008
Pages (from-to)	11083-11092
Number of pages	10
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	40
Issue number	36
DOIs	https://doi.org/10.1088/1751-8113/40/36/008
Publication status	Published - 7 Sep 2007

ASJC Scopus subject areas

Mathematical Physics
Physics and Astronomy(all)
Statistical and Nonlinear Physics
Modelling and Simulation
Statistics and Probability

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abstract = "Starting from a Lagrangian theory L with first class constraints up to Nth stage, we construct an equivalent Lagrangian with at most secondary first-class constraints presented in a Hamiltonian formulation. The Lagrangian can be obtained by pure algebraic methods, its manifest form in terms of quantities of the initial formulation is found. Local symmetries of are found in a closed form. All the constraints of L turn out to be gauge symmetry generators for .",

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