Geometric (pre)quantization in the polysymplectic approach to field theory

Details Geometric (pre)quantization in the polysymplectic approach to field theory Geometric (pre)quantization in the polysymplectic approach to field theory

2001-12-31

arxiv.org/abs/hep-th/0112263v3

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, LaTeX. V2: minor corrections, important Note added in proofs, references detailed

Scientific paper

The prequantization map for a Poisson-Gerstenhaber algebra of dynamical variables represented by differential forms within the polysymplectic formulation of the De Donder--Weyl covariant Hamiltonian field theory is presented and the corresponding prequantum Schroedinger equation for a non-homogeneous form valued wave function is derived. This is the first step toward understanding the procedures of covariant precanonical field quantization from the point of view of geometric quantization.

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