Holographic deconfinement transition in the presence of a magnetic field

Understand

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.