Charge Fluctuations from the Chiral Magnetic Effect in Nuclear Collisions

Abstract

We derive a nonlocal effective Lagrangian for the chiral magnetic effect. An electric field is generated by winding number fluctuations of the nonabelian gauge field in the presence of a strong magnetic field. We estimate the magnitude of charge asymmetry fluctuations with respect to the reaction plane induced by the chiral magnetic effect in relativistic heavy ion collisions to be less than $10^{-6}$, several orders of magnitude smaller than the signal observed in the STAR experiment.

A numerical error in an earlier version of the manuscript is corrected

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• Properties of the QCD Matter -- An Experimental Review of Selected Results from RHIC BES Program
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• HIJING can describe the anisotropy-scaled charge-dependent correlations at the Relativistic Heavy Ion Collider
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• Search for CME in U+U and Au+Au collisions in STAR with different approaches of handling backgrounds
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