Parton model from bi-local solitonic picture of the baryon in two-dimensions

We study a previously introduced bi-local gauge invariant reformulation of two-dimensional QCD, called 2d hadron dynamics. The baryon arises as a topological soliton in hadron dynamics. We derive an interacting parton model from the soliton model, thus reconciling these two seemingly different points of view. The valence quark model is obtained as a variational approximation to hadron dynamics. A succession of better approximations to the soliton picture are obtained. The next simplest case corresponds to a system of interacting valence, ‘sea’ and anti-quarks. We also obtain this ‘embellished’ parton model directly from the valence quark system through a unitary transformation. Using the solitonic point of view, we estimate the quark and anti-quark distributions of 2d QCD. Possible applications to deep inelastic structure functions are pointed out.