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Precanonical quantization of Yang-Mills fields and the functional Schrödinger representation
Authors:Igor V Kanatchikov
Institution:Institut für Theoretische Physik, Freie Universität Berlin, Arnimallee 14, D-14195 Berlin, Germany
Abstract:Precanonical quantization of pure Yang-Mills fields, which is based on the covariant De Donder-Weyl (DW) Hamiltonian formulation, and its connection with the functional Schrödinger representation in the temporal gauge are discussed. The mass gap problem is related to the finite-dimensional spectral problem for a generalized Clifford-valued magnetic Schrödinger operator which represents the DW Hamiltonian operator.
Keywords:Yang-Mills theory  De Donder-Weyl formalism  precanonical quantization  Clifford algebra  functional Schrö  dinger representation  magnetic Schrö  dinger operator  mass gap
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