A gauge invariant and string independent fermion correlator in the Schwinger model

TL;DR

This paper introduces a gauge invariant, string independent fermion correlator in the Schwinger model, deriving its infrared behavior and discussing potential applications in QED_3 models for high-temperature superconductors.

Contribution

It presents a novel gauge invariant, string independent fermion correlator and an effective infrared worldline action for analyzing its behavior.

Findings

Derived the infrared behavior of the correlator

Established gauge invariance and string independence

Discussed applications in QED_3 models for superconductors

Abstract

We introduce a gauge invariant and string independent two-point fermion correlator which is analyzed in the context of the Schwinger model (QED_2). We also derive an effective infrared worldline action for this correlator, thus enabling the computation of its infrared behavior. Finally, we briefly discuss possible perspectives for the string independent correlator in the QED_3 effective models for the normal state of HTc superconductors.