A solution of 2D QCD at Finite $N$ using a conformal basis

TL;DR

This paper applies a conformal basis approach to 2D QCD at finite N, demonstrating efficient spectrum convergence and providing analytic wavefunctions and parton distributions for stable states, even at N=3.

Contribution

It introduces a conformal basis method for 2D QCD at finite N, showing effective convergence and enabling analytic calculations of bound state properties.

Findings

Spectrum converges efficiently with high-dimension operators decoupling exponentially.

Analytic expressions for wavefunctions and parton distributions are obtained for stable states.

Method is effective even at N=3, the physical case.

Abstract

We study 2D QCD with a fundamental fermion at small-$N$ using the recently proposed conformal basis approach. We find that effective conformal dominance still holds, namely that the spectrum converges efficiently, with high scaling-dimension operators decoupling exponentially quickly from the stable single-particle states. Consequently, for these stable bound states, accurate, analytic expressions for wavefunctions and parton distribution functions can be given, even for $N=3$.