Holographic Abelian Higgs model and the Linear confinement

TL;DR

This paper explores a holographic abelian Higgs model demonstrating that chiral symmetry breaking can produce linear confinement, with the confinement slope linked to chiral condensate, applicable to superconductivity or QCD contexts.

Contribution

It introduces a holographic model showing linear confinement arising from chiral symmetry breaking, applicable to different physical theories based on charge interpretation.

Findings

Chiral symmetry breaking induces linear confinement in the model.

The confinement slope correlates with the chiral condensate.

Multiple models with linear confinement are provided.

Abstract

We consider the holographic abelian Higgs model and show that, in the absence of the scale symmetry breaking effect, chiral symmetry breaking gives linear confinement where the slope is given by the value of the chiral condensation. The model can be considered either as the theory of superconductivity or as the axial sector of QCD depending on the interpretation of the charge. We also provided a few models with linear confinement.