Anomalous transport from holography. Part I

Yanyan Bu, Michael Lublinsky, Amir Sharon

Research output: Contribution to journalArticlepeer-review

12 Scopus citations


We revisit the transport properties induced by the chiral anomaly in a charged plasma holographically dual to anomalous U(1)V ×U(1)A Maxwell theory in Schwarzschild-AdS5. Off-shell constitutive relations for vector and axial currents are derived using various approximations generalising most of known in the literature anomaly-induced phenomena and revealing some new ones. In a weak external field approximation, the constitutive relations have all-order derivatives resummed into six momenta-dependent transport co-efficient functions: the diffusion, the electric/magnetic conductivity, and three anomaly induced functions. The latter generalise the chiral magnetic and chiral separation effects. Nonlinear transport is studied assuming presence of constant background external fields. The chiral magnetic effect, including all order nonlinearity in magnetic field, is proven to be exact when the magnetic field is the only external field that is turned on. Non-linear corrections to the constitutive relations due to electric and axial external fields are computed.

Original languageEnglish
Article number93
JournalJournal of High Energy Physics
Issue number11
StatePublished - 1 Nov 2016


  • AdS-CFT Correspondence
  • Anomalies in Field and String Theories
  • Gaugegravity correspondence
  • Holography and quark-gluon plasmas

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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