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

TL;DR

This paper presents a bi-local solitonic reformulation of 2D QCD, deriving a parton model that unifies the soliton and valence quark perspectives, with applications to deep inelastic scattering.

Contribution

It introduces a novel bi-local gauge invariant framework for 2D QCD, deriving an interacting parton model from soliton solutions and connecting it to valence, sea, and anti-quark distributions.

Findings

Derived a topological soliton model for baryons in 2D QCD.

Established a variational approximation linking solitons to valence quarks.

Estimated quark and anti-quark distributions in 2D QCD.

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.