On chiral magnetic effect and holography

Abstract

We point out that there is a difference between the behavior of fermionic systems (and their holographic analogs) in a background axial vector field, on the one hand, and at finite chiral chemical potential, on the other. In the former case, the electric current induced by constant background axial field $A_0$ and magnetic field $\mathbf{B}$ vanishes, while in the latter it is given by the anomaly-prescribed formula $\mathbf{j}=\frac{{\mu }_A}{2{\pi }^2}{e}^2{N}_c\mathbf{B}$.

7 pages

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