Chiral condensates and QCD vacuum in two dimensions

TL;DR

This paper investigates chiral symmetries and condensates in two-dimensional QCD, exploring their existence in various mass and color scenarios and raising questions about topological aspects of the theory.

Contribution

It demonstrates the presence of chiral condensates in 2D QCD using the path-integral approach, considering both massless and massive cases for finite and infinite colors.

Findings

Chiral condensates exist in 2D QCD.

Analysis covers both massless and massive quark cases.

Raises topological questions in fundamental matter representations.

Abstract

We analyze the chiral symmetries of flavored quantum chromodynamics in two dimensions and show the existence of chiral condensates within the path-integral approach. The massless and massive cases are discussed as well, for arbitrary finite and infinite number of colors. Our results put forward the question of topological issues when matter is in the fundamental representation of the gauge group.