Precanonical quantization of Yang-Mills fields and the functional Schroedinger representation
arXiv:hep-th/0301001 · doi:10.1016/S0034-4877(04)90011-0
Abstract
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 Schrödinger operator in the space of gauge potentials which represents the DW Hamiltonian operator.
LaTeX2e, 11pages. v2: 13 pages, minor changes, references added, sect. 5 extended, to appear in Rep. Math. Phys
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- On the spectrum of DW Hamiltonian of quantum SU(2) gauge field
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- Quantization of Polysymplectic Manifolds
- Polysymplectic formulation for topologically massive Yang-Mills field theory
- Polysymplectic Hamiltonian formalism and some quantum outcomes
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- A review on geometric formulations for classical field theory: the Bonzom-Livine model for gravity
- Polysymplectic formulation for BF gravity with Immirzi parameter
- Converting Classical Theories to Quantum Theories by Solutions of the Hamilton-Jacobi Equation
- Schrödinger Functional of a Quantum Scalar Field in Static Space-Times from Precanonical Quantization
- Precanonical structure of the Schrödinger wave functional in curved space-time
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