Topological contributions to fermionic correlators and nonperturbative aspects of QCD in two dimensions

TL;DR

This paper investigates how topological effects influence fermionic correlators in two-dimensional QCD, emphasizing the role of instantons in generating nontrivial condensates for both massless and massive cases.

Contribution

It demonstrates the essential role of topological regular instanton backgrounds in forming nontrivial fermionic correlators in 2D QCD.

Findings

Topological instantons are crucial for nontrivial correlators.

Fermionic condensates depend on topological backgrounds.

Results apply to both massless and massive fermions.

Abstract

We analyze the formation of fermionic condensates in two dimensional quantum chromodynamics for matter in the fundamental representation of the gauge group. We show that a topological regular instanton background is crucial in order to obtain nontrivial correlators. We discuss both massless and massive cases.