Abstract
Two-dimensional QCD in the large- N limit is formulated as a Hartree-Fock problem and solved numerically on a lattice. Calculation of single-particle wave functions and the one-body density matrix displays the structure of baryons. Insight into the Skyrme model is provided by showing that in the limit of small quark mass, the baryon is accurately approximated by a spatially varying chiral rotation of the vacuum wave function, where the chiral angle satisfies the sine-Gordon equation. The meson spectrum is calculated in the random phase approximation. The same mean field theory is also applied to chiral and non-chiral Gross-Neveu models, where it agrees with known analytical results.
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