Multiflavor Correlation Functions in non-Abelian Gauge Theories at Finite Density in two dimensions

TL;DR

This paper calculates fermion bilinear correlations in two-dimensional QCD at finite density, revealing exact oscillatory chiral condensates influenced by topological sectors, paralleling phenomena in four-dimensional QCD.

Contribution

It provides an exact analysis of inhomogeneous chiral condensates at finite density in 2D non-Abelian gauge theories, incorporating topological sector contributions.

Findings

Existence of oscillatory inhomogeneous chiral condensates

Exact computation of fermion correlators at finite density

Parallel to large N QCD_4 behavior

Abstract

We compute vacuum expectation values of products of fermion bilinears for two-dimensional Quantum Chromodynamics at finite flavored fermion densities. We introduce the chemical potential as an external charge distribution within the path-integral approach and carefully analyse the contribution of different topological sectors to fermion correlators. We show the existence of chiral condensates exhibiting an oscillatory inhomogeneous behavior as a function of a chemical potential matrix. This result is exact and goes in the same direction as the behavior found in QCD_4 within the large N approximation.