Anomalous Maxwell equations for inhomogeneous chiral plasma

E. V. Gorbar, Igor Shovkovy, S. Vilchinskii, I. Rudenok, A. Boyarsky, O. Ruchayskiy

Research output: Contribution to journalArticle

39 Scopus citations


Using the chiral kinetic theory we derive the electric and chiral current densities in inhomogeneous relativistic plasma. We also derive equations for the electric and chiral chemical potentials that close the Maxwell equations in such a plasma. The analysis is done in the regimes with and without a drift of the plasma as a whole. In addition to the currents present in the homogeneous plasma (Hall current, chiral magnetic, chiral separation, and chiral electric separation effects, as well as Ohm's current) we derive several new terms associated with inhomogeneities of the plasma. Apart from various diffusionlike terms, we find also new dissipationless terms that are independent of relaxation time. Their origin can be traced to the Berry curvature modifications of the kinetic theory.

Original languageEnglish (US)
Article number105028
JournalPhysical Review D
Issue number10
StatePublished - May 18 2016


ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

Cite this

Gorbar, E. V., Shovkovy, I., Vilchinskii, S., Rudenok, I., Boyarsky, A., & Ruchayskiy, O. (2016). Anomalous Maxwell equations for inhomogeneous chiral plasma. Physical Review D, 93(10), [105028].