Parton Model from Bi-local Solitonic Picture of the Baryon in two-dimensions

Abstract

We study a previously introduced bi-local gauge invariant reformulation of two dimensional QCD, called 2d HadronDynamics. The baryon arises as a topological soliton in HadronDynamics. 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 HadronDynamics. 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.

12 pages

References in corpus (1)

• An Interacting Parton Model for Quark and Anti-quark distributions in the Baryon

Cited by in corpus (4)

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• 2+1 Abelian `Gauge Theory' Inspired by Ideal Hydrodynamics