Confinement induced by fermion damping in three-dimensional QED

TL;DR

This paper investigates how fermion damping due to elastic scattering influences confinement in three-dimensional QED, revealing that damping can induce weak confinement even without fermion mass or chiral symmetry breaking.

Contribution

It introduces a novel analysis of fermion damping effects on confinement, showing damping can cause weak confinement independently of fermion mass or chiral symmetry breaking.

Findings

Fermion damping can induce weak confinement in 3D QED.

Damping effects alter the vacuum polarization function.

Confinement can occur without fermion mass or chiral symmetry breaking.

Abstract

The three-dimensional non-compact QED is known to exhibit weak confinement when fermions acquire a finite mass via the mechanism of dynamical chiral symmetry breaking. In this paper, we study the effect of fermion damping caused by elastic scattering on the classical potential between fermions. By calculating the vacuum polarization function that incorporates the fermion damping effect, we show that fermion damping can induce a weak confinement even when the fermions are massless and the chiral symmetry is not broken.