Holographic QCD and magnetic fields

Abstract

We review the holographic approach to electromagnetic phenomena in large N QCD. After a brief discussion of existing holographic models, we concentrate on the improved holographic QCD model extended to include magnetically induced phenomena. We explore the influence of magnetic fields on the QCD ground state, focusing on (inverse) magnetic catalysis of chiral condensate, investigate the phase diagram of the theory as a function of magnetic field, temperature and quark chemical potential, and, finally discuss effects of magnetic fields on the quark-anti-quark potential, shear viscosity, speed of sound and magnetization.

Contribution to the EPJA topical issue "QCD Phase Diagram in Strong Magnetic Fields", 16 pages, 14 figures. v3: references added, typos corrected

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• Magnetising the $\mathcal{N}=4$ Super Yang-Mills plasma
• Analytic long-lived modes in charged critical plasma
• Holographic Non-local Rotating Observables and their Renormalization
• Velocity Laws for Bound States in Asymptotically AdS Geometries
• Holographic Strange Metals for Philosophers and Physicists