Chiral condensate in a holographic dilute nuclear matter

TL;DR

This paper investigates how the chiral condensate varies with baryon density in cold nuclear matter using a holographic D3/D7 brane model, revealing a gradual increase in the condensate at low densities.

Contribution

It introduces a holographic approach to study the chiral condensate in dilute nuclear matter, providing a novel perspective compared to traditional methods.

Findings

Chiral condensate increases with baryon density in dilute nuclear matter.

Holographic model results are comparable to chiral perturbation theory.

Model applicable within the dilute nucleon gas regime.

Abstract

We study chiral condensate in cold nuclear matter on the basis of holographic theory, which would be dual to a baryon system in quantum chromodynamics (QCD) in the confinement phase. Our model is a holographic model based on the D$3$/D$7$ branes. The magnitude of the chiral condensate obtained in our model is found to gradually increase with increasing baryon density $n$ within the range of the dilute nucleon gas, $n<1$, where our model is available. This is a result for the chiral condensate in the holographic model as a function of $n$, which can be compared to the chiral perturbation theory.