On chiral magnetic effect and holography

preprint2010arXivOpen access

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 A0A_0 and magnetic field B{\bf B} vanishes, while in the latter it is given by the anomaly-prescribed formula j=μA2π2e2NcB{\bf j} = \frac{μ_A}{2π^2}e^2 N_c {\bf B}.

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