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Novel algebraic structures from the polysymplectic form in field theory | | I. V. Kanatchikov
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2 Oct 1997 | | Abstract: | The polysymplectic $(n+1)$-form is introduced as an analogue of the symplectic form for the De Donder-Weyl polymomentum Hamiltonian formulation of field theory. The corresponding Poisson brackets on differential forms are constructed. The analogues of the Poisson algebra are shown to be generalized (non-commutative and higher-order) Gerstenhaber algebras defined in the text. | | Source: | arXiv, hep-th/9612255 | | Services: | Forum | Review | PDF | Favorites | |
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