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

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arxiv hep-th/0301001 v2 pith:664RZL25 submitted 2002-12-31 hep-th

classification hep-th
keywords fieldsfunctionalgaugehamiltonianoperatorprecanonicalproblemquantization
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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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