Anomalous Maxwell equations for inhomogeneous chiral plasma

E. V. Gorbar, I. A. Shovkovy, S. Vilchinskii, I. Rudenok, A. Boyarsky, and O. Ruchayskiy
Phys. Rev. D 93, 105028 – Published 18 May 2016

Abstract

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.

  • Received 16 March 2016

DOI:https://doi.org/10.1103/PhysRevD.93.105028

© 2016 American Physical Society

Physics Subject Headings (PhySH)

Statistical Physics & ThermodynamicsGravitation, Cosmology & Astrophysics

Authors & Affiliations

E. V. Gorbar1,2, I. A. Shovkovy3, S. Vilchinskii1,4, I. Rudenok1, A. Boyarsky5, and O. Ruchayskiy6

  • 1Department of Physics, Taras Shevchenko National Kiev University, Kiev 03022, Ukraine
  • 2Bogolyubov Institute for Theoretical Physics, Kiev 03680, Ukraine
  • 3College of Letters and Sciences, Arizona State University, Mesa, Arizona 85212, USA
  • 4Departement de Physique Theorique Center for Astroparticle Physics, Universite de Geneve, Quai E. Ansermet 24, 1211 Geneve 4, Switzerland
  • 5Instituut-Lorentz for Theoretical Physics, Universiteit Leiden, Niels Bohrweg 2, 2333 CA Leiden, The Netherlands
  • 6Discovery Center, Niels Bohr Institute, Blegdamsvej 17, DK-2100 Copenhagen, Denmark

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 93, Iss. 10 — 15 May 2016

Reuse & Permissions
Access Options
CHORUS

Article Available via CHORUS

Download Accepted Manuscript
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review D

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×