Master Wilson loop operators in large-N lattice QCD$_2$

TL;DR

This paper provides an explicit solution for correlation functions in large-N lattice QCD2 with Wilson action, enabling the reconstruction of Wilson loop eigenvalue distributions and analyzing their properties in certain parameter regions.

Contribution

It offers a novel explicit solution for correlation functions in large-N lattice QCD2, facilitating spectral analysis of Wilson loop operators.

Findings

Eigenvalue distributions of Wilson loops can be reconstructed from correlation functions.

Spectral densities exhibit specific properties in the region β<β_c.

The solution advances understanding of large-N lattice gauge theories.

Abstract

An explicit solution is found for the most general independent correlation functions in lattice QCD$_2$ with Wilson action. The large-$N$ limit of these correlations may be used to reconstruct the eigenvalue distributions of Wilson loop operators for arbitrary loops. Properties of these spectral densities are discussed in the region $\beta<\beta_c={1\over 2}$.