Abstract
Bosonization of two-dimensional QCD in the large-N C limit is performed within the Hamiltonian approach in the Coulomb gauge. A generalized Bogolyubov 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 the result of the generalized Bogolyubov transformation, and the form of its massless solution, a chiral pion, is found explicitly. The chiral properties of the theory are discussed.
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From Yadernaya Fizika, Vol. 63, No. 9, 2000, pp. 1710–1715.
Original English Text Copyright © 2000 by Kalashnikova, Nefediev, Volodin.
This article was submitted by the authors in English.
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Kalashnikova, Y.S., Nefediev, A.V. & Volodin, A.V. Hamiltonian approach to the bound-state problem in QCD2 . Phys. Atom. Nuclei 63, 1623–1628 (2000). https://doi.org/10.1134/1.1312896
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DOI: https://doi.org/10.1134/1.1312896