Analytic Study of Magnetic Catalysis in Holographic QCD

Understand

We explore the effect of the magnetic field on the QCD phase transition through AdS/CFT correspondence.

• By introducing an anisotropic magnetic field in the Einstein-Maxwell-Scalar system, a family of analytic solutions is obtained by the potential reconstruction method where the contribution of the magnetic field in the blackening background can be analytically derived.
• After imposing the kinetic gauge function by requesting the linear Regge spectrum of $J/\psi$ mesons, the contribution of the magnetic field phase diagram can be demonstrated.
• The results show that the transition temperature will be raising as the magnetic field increases, which is the so-call magnetic catalysis effect.