On the Einstein Relation in holographic systems at finite baryon density

TL;DR

This paper investigates the Einstein relation in a strongly coupled quark-gluon plasma using holography, confirming its validity at finite baryon density for the D3/D7 system, thus supporting holographic models of QCD.

Contribution

It provides the first calculation of conductivity, susceptibility, and diffusion at finite baryon density in holographic QCD models, verifying the Einstein relation in this context.

Findings

The Einstein relation holds at finite baryon density in the D3/D7 holographic model.

Derived general expressions for conductivity, susceptibility, and diffusion in this setting.

Supports the applicability of holographic methods to finite-density QCD phenomena.

Abstract

We study the conductivity, susceptibility and diffusion of a strongly coupled quark gluon plasma from the holographic perspective. We calculate general expressions for these quantities in the presence of finite baryon density and show that in this context, for the D3/D7 intersection the Einstein relation holds, providing another non-trivial check of the holographic correspondence at finite temperature.