• Open Access

Chiral magnetic wave in an expanding QCD fluid

Seyed Farid Taghavi and Urs Achim Wiedemann
Phys. Rev. C 91, 024902 – Published 4 February 2015

Abstract

As a consequence of the chiral anomaly, the hydrodynamics of hot quantum chromodynamics (QCD) matter coupled to quantum electrodynamics allows for a long-wavelength mode of chiral charge density, the chiral magnetic wave (CMW), that provides for a mechanism of electric charge separation along the direction of an external magnetic field. Here, we investigate the efficiency of this mechanism for values of the time-dependent magnetic field and of the energy density attained in the hot QCD matter of ultrarelativistic heavy-ion collisions. To this end, we derive the CMW equations of motion for expanding systems by treating the CMW as a charge perturbation on top of an expanding Bjorken-type background field in the limit μ/T1. Both, approximate analytical and full numerical solutions to these equations of motion, indicate that for the lifetime and thermodynamic conditions of ultrarelativistic heavy-ion collisions, the efficiency of CMW-induced electric charge separation decreases with increasing center-of-mass energy and that the effect is numerically very small. We note, however, that if sizable oriented asymmetries in the axial charge distribution (that are not induced by the CMW) are present in the early fluid dynamic evolution, then the mechanism of CMW-induced electric charge separation can be much more efficient.

  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Received 9 March 2014
  • Revised 15 December 2014

DOI:https://doi.org/10.1103/PhysRevC.91.024902

This article is available under the terms of the Creative Commons Attribution 3.0 License. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI.

Published by the American Physical Society

Authors & Affiliations

Seyed Farid Taghavi1,2,* and Urs Achim Wiedemann2,†

  • 1School of Particles and Accelerators, Institute for Research in Fundamental Sciences (IPM), P.O. Box 19395-5531, Tehran, Iran
  • 2Physics Department, Theory Unit, CERN, CH-1211 Genève 23, Switzerland

  • *s.f.taghavi@ipm.ir
  • urs.wiedemann@cern.ch

Article Text

Click to Expand

References

Click to Expand
Issue

Vol. 91, Iss. 2 — February 2015

Reuse & Permissions
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review C

Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 3.0 License. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

×

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×