Covariant Hamiltonian field theory

@inproceedings{GGiachetta1999CovariantHF,  title={Covariant Hamiltonian field theory},  author={G.Giachetta and L.Mangiarotti and G.Sardanashvily},  year={1999},  url={https://api.semanticscholar.org/CorpusID:204899025}}
We study the relations between the equations of first order Lagrangian field theory on fiber bundles and the covariant Hamilton equations on the finite-dimensional polysymplectic phase space of covariant Hamiltonian field theory. The main peculiarity of these Hamilton equations lies in the fact that, for degenerate systems, they contain additional gauge fixing conditions. We develop the BRST extension of the covariant Hamiltonian formalism, char-acterized by a Lie superalgebra of BRST and anti-BRST… 

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Distinguished tensors and Poisson brackets in the multi-time Hamilton Geometry

The aim of this paper is to present the main geometrical ob- jects on the dual 1-jet vector bundle J 1⁄ (T ;M) (this is the polymomentum phase space of the De Donder-Weyl covariant Hamiltonian…

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