Light-Front Quark Model Phenomenology Consistent with Chiral Symmetry

TL;DR

This paper explores how the light-front quark model aligns with QCD's chiral symmetry by analyzing pion distribution amplitudes, revealing scale-dependent curvature changes in twist-3 amplitudes.

Contribution

It demonstrates the consistency of the light-front quark model with chiral symmetry and details the behavior of pion distribution amplitudes at different scales.

Findings

Twist-3 distribution amplitude can change curvature sign at low scales.

The model aligns with QCD chiral symmetry principles.

Scale dependence of distribution amplitudes is characterized.

Abstract

We discuss the link between the chiral symmetry of QCD and the numerical results of the light-front quark model, analyzing both the twist-2 and twist-3 distribution amplitudes of a pion. In particular, we exhibit that the pion twist-3 distribution amplitude can flip the sign of curvature as the cutoff scale for the transverse momentum gets lower than a typical scale of around 1 GeV.