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arXiv · hep-th/9907181

The Koszul-Tate Cohomology in Covariant Hamiltonian Formalism

L. Mangiarotti·G. Sardanashvily
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Abstract

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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L. Mangiarotti, G. Sardanashvily. 1999-07-23. The Koszul-Tate Cohomology in Covariant Hamiltonian Formalism. https://doi.org/10.1142/s0217732399002273

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