Quasi-parton distribution functions: two-dimensional scalar and spinor QCD

TL;DR

This paper constructs quasi-parton distribution functions for mesons in two-dimensional QCD with scalar or spinor quarks, demonstrating their convergence to standard PDFs in the infinite momentum limit using a $1/N_c$ expansion.

Contribution

It introduces a method to derive quasi-parton distributions in 2D QCD with different quark types and shows their consistency with traditional PDFs at high momentum.

Findings

Quasi-PDFs converge to standard PDFs in the infinite momentum limit.

The approach applies to both scalar and spinor quarks in 2D QCD.

The $1/N_c$ expansion effectively captures leading and sub-leading behaviors.

Abstract

We construct the quasi-parton distributions of mesons for two-dimensional QCD with either scalar or spinor quarks using the $1/N_c$ expansion. We show that in the infinite momentum limit, the parton distribution function is recovered in both leading and sub-leading order in $1/N_c$.