U(1) current from the AdS/CFT: diffusion, conductivity and causality

Yanyan Bu, Michael Lublinsky, Amir Sharon

Research output: Contribution to journalArticlepeer-review

16 Scopus citations


Abstract: For a holographically defined finite temperature theory, we derive an off-shell constitutive relation for a global U(1) current driven by a weak external non-dynamical electromagnetic field. The constitutive relation involves an all order gradient expansion resummed into three momenta-dependent transport coefficient functions: diffusion, electric conductivity, and “magnetic” conductivity. These transport functions are first computed analytically in the hydrodynamic limit, up to third order in the derivative expansion, and then numerically for generic values of momenta. We also compute a diffusion memory function, which, as a result of all order gradient resummation, is found to be causal.

Original languageEnglish
Article number136
JournalJournal of High Energy Physics
Issue number4
StatePublished - 1 Apr 2016


  • AdS-CFT Correspondence
  • Gauge-gravity correspondence
  • Holography and condensed matter physics (AdS/CMT)
  • Holography and quark-gluon plasmas

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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