The Koszul-Tate Cohomology in Covariant Hamiltonian Formalism

Details The Koszul-Tate Cohomology in Covariant Hamiltonian Formalism The Koszul-Tate Cohomology in Covariant Hamiltonian Formalism

1999-07-23

arxiv.org/abs/hep-th/9907181v1

Mod.Phys.Lett. A14 (1999) 2201-2210

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, LaTeX

Scientific paper

10.1142/S0217732399002273

We show that, in the framework of covariant Hamiltonian field theory, a degenerate almost regular quadratic Lagrangian $L$ admits a complete set of non-degenerate Hamiltonian forms such that solutions of the corresponding Hamilton equations, which live in the Lagrangian constraint space, exhaust solutions of the Euler--Lagrange equations for $L$. We obtain the characteristic splittings of the configuration and momentum phase bundles. Due to the corresponding projection operators, the Koszul-Tate resolution of the Lagrangian constraints for a generic almost regular quadratic Lagrangian is constructed in an explicit form.

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