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We revisit the Chiral Magnetic Effect (CME) using the chiral Lagrangian. Wedemonstrate that the electric-current formula of the CME is derived immediatelyfrom the contact part of the Wess-Zumino-Witten action. This implies that theCME could be, if observed, a signature for the local parity violation, but adirect evidence for neither quark deconfinement nor chiral restoration. We alsodiscuss the reverse Chiral Magnetic Primakoff Effect, i.e. the real photonproduction through the vertex associated with the CME, which is kinematicallypossible for space-time inhomogeneous configurations of magnetic fields and thestrong theta angle. We make a qualitative estimate for the photon yield to findthat it comparable to the thermal photon.

Wess-Zumino-Witten action and photons from the Chiral Magnetic Effect