Chiral electric separation effect in the quark-gluon plasma

In this paper we introduce and compute a new transport coefficient for the quark-gluon plasma at very high temperature. This new coefficient _, the chiral electric separation effect (CESE) conductivity, quantifies the amount of axial current {J}₀ that is generated in response to an externally applied electric field eE: {J}₀=_ (eE). Starting with a rather general argument in the kinetic theory framework, we show how a characteristic structure _₅ emerges, which also indicates the CESE as an anomalous transport effect occurring only in a parity-odd environment with nonzero axial charge density ₅0. Using the hard-thermal-loop framework, the CESE conductivity for the quark-gluon plasma is found to be _= (#) TTr₅{Q₄Q₀}{g^4ln (1/g) }{₅}{T^2} to the leading-log accuracy with the numerical constant (#) depending on favor content, e. g. , (#) =14. 5163 for u, d light flavors.