Novel algebraic structures from the polysymplectic form in field theory

Details Novel algebraic structures from the polysymplectic form in field theory Novel algebraic structures from the polysymplectic form in field theory

1996-12-31

arxiv.org/abs/hep-th/9612255v2

GROUP21, Physical Applications and Mathematical Aspects of Geometry, Groups and Algebras, vol. 2, eds. H.-D. Doebner e.a. (Wor

Physics

High Energy Physics

High Energy Physics - Theory

6 pages, LaTeX. Talk at Gropu21, Goslar (Germany) 1996. Typos in math notation fixed, refs updated, minor style improvements

Scientific paper

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.

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