Valence Parton Distribution Functions from Quantum ChromoDynamics

TL;DR

This paper introduces Quantum HadronDynamics, a semi-classical approach based on 2D QCD, to predict valence parton distribution functions and compare them with experimental neutrino scattering data.

Contribution

It develops a new semi-classical framework, Quantum HadronDynamics, transforming 2D QCD into a model that predicts hadronic structure functions as topological solitons.

Findings

Quantum HadronDynamics approximates hadronic structure functions in deep inelastic scattering.

Predicted structure functions are consistent with neutrino scattering measurements.

The baryon is modeled as a topological soliton within this framework.

Abstract

We show that two dimensional QCD can, to a good approximation, describe the hadronic structure functions measured in Deep Inelastic Scattering. We transform this theory into a new form, Quantum HadronDynamics (QHD), whose semi-classical approximation is closer to nature. The Baryon is then a topological soliton, and its structure function can be predicted by a variational principle. This prediction can be tested by comparison with measurements of neutrino scattering cross-sections.