All order effective action for charge diffusion from Schwinger-Keldysh holography

Yanyan Bu, Tuna Demircik, Michael Lublinsky

Research output: Contribution to journalArticlepeer-review

11 Scopus citations


An effective action for diffusion of a conserved U(1) charge is derived to all orders in the derivative expansion within a holographic model dual to the Schwinger-Keldysh closed time path. A systematic approach to solution of the 5D Maxwell equations in a doubled Schwarzschild-AdS5 black brane geometry is developed. Constitutive relation for the stochastic charge current is shown to have a term induced by thermal fluctuations (coloured noise). All transport coefficient functions parameterising the effective action and constitutive relations are computed analytically in the hydrodynamic expansion, and then numerically for finite momenta.

Original languageEnglish
Article number187
JournalJournal of High Energy Physics
Issue number5
StatePublished - 1 May 2021


  • 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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