Polysymplectic Hamiltonian formalism and some quantum outcomes

Abstract

Covariant (polysymplectic) Hamiltonian field theory is formulated as a particular Lagrangian theory on a polysymplectic phase space that enables one to quantize it in the framework of familiar quantum field theory.

the invited plenary lecture deliverd at 9th International Conference on Differential Geometry and its Applications, Prague, 2004