Precanonical quantization of Yang-Mills fields and the functional Schroedinger representation

Details Precanonical quantization of Yang-Mills fields and the functional Schroedinger representation Precanonical quantization of Yang-Mills fields and the functional Schroedinger representation

2002-12-31

arxiv.org/abs/hep-th/0301001v2

Rept.Math.Phys. 53 (2004) 181-193

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX2e, 11pages. v2: 13 pages, minor changes, references added, sect. 5 extended, to appear in Rep. Math. Phys

Scientific paper

Precanonical quantization of pure Yang-Mills fields, which is based on the covariant De Donder-Weyl (DW) Hamiltonian formalism, and its connection with the functional Schrodinger representation in the temporal gauge are discussed. The YM mass gap problem is related to a finite dimensional spectral problem for a generalized Clifford-valued magnetic Schr\"odinger operator in the space of gauge potentials which represents the DW Hamiltonian operator.

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