Frequency dependence of the Chiral Vortical Effect

Karl Landsteiner, Eugenio Megías, and Francisco Peña-Benítez
Phys. Rev. D 90, 065026 – Published 22 September 2014

Abstract

We study the frequency dependence of all the chiral vortical and magnetic conductivities for a relativistic gas of free chiral fermions and for a strongly coupled conformal field theory with holographic dual in four dimensions. Both systems have gauge and gravitational anomalies, and we compute their contribution to the conductivities. The chiral vortical conductivities and the chiral magnetic conductivity in the energy current show a frequency dependence in the form of a delta centered at zero frequency. This highly discontinuous behavior is a natural consequence of the Ward identities that include the energy momentum tensor. We discuss the physical interpretation of this result and its possible implications for the quark gluon plasma as created in heavy ion collisions. In the Appendix we discuss why the chiral magnetic effect seems to vanish in the consistent current for a particular implementation of the axial chemical potential.

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  • Received 13 December 2013

DOI:https://doi.org/10.1103/PhysRevD.90.065026

© 2014 American Physical Society

Authors & Affiliations

Karl Landsteiner1,*, Eugenio Megías2,†, and Francisco Peña-Benítez1,3,4,‡

  • 1Instituto de Física Teórica, IFT-UAM/CSIC, Universidad Autónoma de Madrid, Cantoblanco, E-28049 Madrid, Spain
  • 2Grup de Física Teòrica and IFAE, Departament de Física, Universitat Autònoma de Barcelona, Bellaterra, E-08193 Barcelona, Spain
  • 3Departamento de Física Teórica, Universidad Autónoma de Madrid, Cantoblanco, E-28049 Madrid, Spain
  • 4Crete Center for Theoretical Physics, Department of Physics, University of Crete, 71003 Heraklion, Greece

  • *karl.landsteiner@csic.es
  • emegias@ifae.es
  • pena@physics.uoc.gr

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Vol. 90, Iss. 6 — 15 September 2014

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