Holographic deconfinement transition in the presence of a magnetic field

TL;DR

This paper explores how a magnetic field influences the thermodynamics and phase transition temperatures of the Sakai-Sugimoto model, revealing paramagnetic behavior and a magnetic field-dependent decrease in deconfinement temperature.

Contribution

It provides a holographic analysis of magnetic effects on deconfinement transition and thermodynamics in the Sakai-Sugimoto model, including corrections to the transition temperature.

Findings

Magnetic field increases pressure in both phases.

Quarks exhibit paramagnetic susceptibility.

Deconfinement temperature decreases with magnetic field.

Abstract

We investigate the thermodynamics of the flavour sector of the Sakai-Sugimoto model in the presence of a magnetic field. Renormalizing the euclidean Dirac-Born-Infeld action in the antipodal limit, we find for the confined and deconfined phases positive contributions to the pressures that grow with the magnetic field. We also obtain positive magnetic susceptibilities indicating a paramagnetic behaviour of quarks. Using these results we estimate a \lambda^2/N_c correction to the deconfinement temperature that decreases as a function of the magnetic field.