Magnetized baryonic matter in holographic QCD

TL;DR

This paper explores the behavior of baryonic matter under magnetic fields in holographic QCD, revealing homogeneous configurations and comparing equations of state with chiral perturbation theory.

Contribution

It demonstrates the existence of homogeneous baryonic configurations in magnetic fields within the Sakai-Sugimoto model and compares their properties to chiral perturbation theory results.

Findings

Homogeneous baryon configurations exist at finite magnetic fields.

Equation of state matches chiral perturbation theory at low magnetic fields.

Behavior of matter at larger magnetic fields is discussed.

Abstract

We investigate the properties of the Sakai-Sugimoto model at finite magnetic field and baryon chemical potentials. We show that in a finite magnetic field, there exists a spatially homogeneous configuration carrying finite baryon number density. At low magnetic field and baryon chemical potential the equation of state of the matter coincides with that obtained from the chiral perturbation theory Lagrangian with an anomalous term. We discuss the behavior of the system at larger magnetic fields.