Hamiltonian approach to the bound state problem in QCD2
Yu. S. Kalashnikova, A. V. Nefediev, A. V. Volodin
Abstract
Bosonization of the two-dimensional QCD in the large NC limit is performed in the framework of Hamiltonian approach in the Coulomb gauge. The generalized Bogoliubov transformation is applied to diagonalize the Hamiltonian in the bosonic sector of the theory, and the composite operators creating/annihilating bosons are obtained in terms of dressed quark operators. The bound state equation is reconstructed as a result of the generalized Bogoliubov transformation, and the form of its massless solution, chiral pion, is found explicitly. Chiral properties of the theory are discussed.
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