Chiral Magnetic Effect in QED induced by longitudinal photons

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Chiral magnetic effect exists in an electron-positron strongly magnetized gas in QED. It is induced by an electric field parallel to the external field B, like that produced by the pseudovector longitudinal mode propagating along B. In the static limit, an electric pseudovector current is obtained in the lowest Landau level. We obtain a new axial anomaly expression in a medium of massive particles in the presence of B, for scattering or pair creation, similar to the usual QED axial anomaly. The effect is interesting in connection to the QCD chiral magnetic case reported in current literature.