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The Koszul-Tate cohomology in covariant Hamiltonian formalismстатья
- Авторы: Mangiarotti L., Sardanashvily G.
- Журнал: ArXiv e-prints
- Номер: hep-th/ 9907181
- Год издания: 1999
- 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.
- Добавил в систему: Сарданашвили Геннадий Александрович