Abstract
The authors study the chiral magnetic effect in out of equilibrium situations in a holographic setup describing a far from equilibrium evolution. They find that the anomaly induced response shows a late equilibration and suggest that this could be a universal feature of anomalous transport, which could provide an important lesson for observations in heavy ion collisions.
Highlights
Anomaly-induced transport phenomena have been the subject of much interest
A careful examination of the chiral magnetic effect (CME) shows that it vanishes in equilibrium due to a topological contribution from a counterterm that arises in the definition of the electric current [5]
We are going to probe the out-of-equilibrium behavior of the system by switching on a small constant magnetic field, either vector or axial, and the minimal set of fluctuations required by consistency of the equations of motion at linear order in the magnetic field
Summary
Anomaly-induced transport phenomena have been the subject of much interest (see Refs. [1,2] for reviews). Vaidya metrics are generated by in-falling incoherent null dust They have very simple energy-momentum and charge distributions, which allow analytic solutions of Einstein equations even in the presence of a cosmological constant. It turns out that Vaidya-type metrics are still solutions to the equations including the energy-momentum tensor of the massless scalar fields. This has been noted before in the case of four-dimensional asymptotically AdS Vaidya metrics in Refs. [19], the authors studied a free-falling charged shell of matter in antide Sitter space While this is similar to the Vaidya approach, they computed the CME response in a quasistatic approximation, whereas we directly solve for the time dependence.
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