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Corpus ID: 18411570

Basic structures of the covariant canonical formalism for fields based on the De Donder--Weyl theory

@article{Kanatchikov1994BasicSO,
title={Basic structures of the covariant canonical formalism for fields based on the De Donder--Weyl theory},
author={I. Kanatchikov},
journal={arXiv: High Energy Physics - Theory},
year={1994}
}

We discuss a field theoretical extension of the basic structures of classical analytical mechanics within the framework of the De Donder--Weyl (DW) covariant Hamiltonian formulation. The analogue of the symplectic form is argued to be the {\em polysymplectic} form of degree $(n+1)$, where $n$ is the dimension of space-time, which defines a map between multivector fields or, more generally, graded derivation operators on exterior algebra, and forms of various degrees which play a role of… Expand