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

I. V. Kanatchikov

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arXiv · hep-th/0112263

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

I. V. Kanatchikov

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Abstract

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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I. V. Kanatchikov. 2002-06-03. Geometric (pre)quantization in the polysymplectic approach to field theory. https://arxiv.org/abs/hep-th/0112263

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