Magnetic susceptibility of the quark condensate via holography

TL;DR

This paper uses holography to derive the magnetic susceptibility of the quark condensate, highlighting the role of the Chern-Simons term and assessing the accuracy of Vainshtein's relation in a hard wall model.

Contribution

It provides a holographic derivation of the quark condensate's magnetic susceptibility and evaluates the validity of Vainshtein's relation within this framework.

Findings

Susceptibility arises from the Chern-Simons term in holography.

Vainshtein's relation is approximately valid but not exact in the hard wall model.

Comments on the spectral density of the Dirac operator are included.

Abstract

We discuss the holographic derivation of the magnetic susceptibility of the quark condensate. It is found that the susceptibility emerges upon the account of the Chern-Simons term in the holographic action. We demonstrate that Vainshtein's relation is not exact in the hard wall dual model but is fulfilled with high accuracy. Some comments concerning the spectral density of the Dirac operator are presented.