Hamiltonian approach to the bound state problem in QCD_2
High Energy Physics - Phenomenology
2009-10-31 v1
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.
Cite
@article{arxiv.hep-ph/9908226,
title = {Hamiltonian approach to the bound state problem in QCD_2},
author = {Yu. S. Kalashnikova and A. V. Nefediev and A. V. Volodin},
journal= {arXiv preprint arXiv:hep-ph/9908226},
year = {2009}
}
Comments
9 pages, LaTeX2e