# Formulation of a constrained system in terms of extended Lagrangian and its local symmetries - High Energy Physics - Theory

Abstract: It is shown that an arbitrary singular Lagrangian theory with first andsecond class constraints up to $N$-th stage in the Hamiltonian formulation canbe reformulated as a theory with at most third-stage constraints. Thecorresponding Lagrangian $\tilde L$ can be obtained by pure algebraic methods,its manifest form in terms of quantities of the initial formulation is found.Local symmetries of $\tilde L$ are obtained in closed form. All the first classconstraints of the initial Lagrangian turn out to be gauge symmetry generatorsfor $\tilde L$.

Author: A. A. Deriglazov

Source: https://arxiv.org/