The Koszul-Tate cohomology in covariant Hamiltonian formalismстатья
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Дата последнего поиска статьи во внешних источниках: 18 июля 2013 г.
Аннотация: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.