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 σχe, the chiral electric separation effect (CESE) conductivity, quantifies the amount of axial current JA that is generated in response to an externally applied electric field eE:JA = σχe(eE). Starting with a rather general argument in the kinetic theory framework, we show how a characteristic structure σχe oc μμ5 emerges, which also indicates the CESE as an anomalous transport effect occurring only in a parity-odd environment with nonzero axial charge density μ5 ≠ 0. Using the hardthermal-loop framework, the CESE conductivity for the quark-gluon plasma is found to be σχe = (#) T TrfQeQA/g4ln(1/g) μμ5/T2 to leading-log accuracy with the numerical constant (#) depending on favor content, e.g., (#) = 14.5163 for u, d light flavors. [ABSTRACT FROM AUTHOR]