Hamiltonian approach to the bound state problem in QCD₂

1999/08/03 by Yu. S. Kalashnikova, A. V. Nefediev, A. V. Volodin · 1 citation
Physics and Astronomy · #hep-ph

paper · pdf · doi:10.1134/1.1312896

published as Phys.Atom.Nucl. 63 (2000) 1623-1628; Yad.Fiz. 63 (2000) 1710-1715 · 9 pages, LaTeX2e

arxiv created 1999/08/03 · arxiv updated 2009/11/30

Abstract

Bosonization of the two-dimensional QCD in the large N_C 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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• Meson scattering and tetraquarks in two-dimensional QCD