Fermion Condensates of massless $QED_2$ at Finite Density in non-trivial Topological Sectors

TL;DR

This paper investigates how chiral condensates in massless $QED_2$ at finite density display oscillatory inhomogeneous patterns, linking these phenomena to the theory's topological features using a path-integral approach.

Contribution

It provides a detailed analysis of chiral condensates in $QED_2$ at finite density, highlighting the role of topological sectors and demonstrating oscillatory behavior.

Findings

Chiral condensates show oscillatory inhomogeneous behavior.

The topological structure influences condensate behavior.

Path-integral approach clarifies the connection between topology and condensates.

Abstract

Vacuum expectation values of products of local bilinears $\bar\psi\psi$ are computed in massless $QED_2$ at finite density. It is shown that chiral condensates exhibit an oscillatory inhomogeneous behaviour depending on the chemical potential. The use of a path-integral approach clarifies the connection of this phenomenon with the topological structure of the theory.