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

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arxiv 2012.08362 v2 pith:SJ2LDPTM submitted 2020-12-15 hep-th hep-phnucl-th

Yanyan Bu , Tuna Demircik , Michael Lublinsky This is my paper · ORCID
classification hep-thhep-phnucl-th
keywords actionchargeeffectiveconstitutivediffusionexpansionschwinger-keldyshanalytically
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

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-AdS$_5$ 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.

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Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Imprint of the black hole singularity on thermal two-point functions

    hep-th 2025-10 unverdicted novelty 8.0 of 10

    Thermal two-point functions in holographic AdS black holes receive exponentially small non-perturbative corrections controlled by null geodesics bouncing off the singularity.

  2. Schwinger-Keldysh effective field theory of type-B Goldstone: near-diagonal geometry and Berry term

    hep-th 2026-08 conditional novelty 6.0 of 10

    A Schwinger-Keldysh effective field theory for type-B Goldstones is constructed via near-diagonal geometry and a transgression Berry term, with dissipative spectra for the ferromagnet and an SU(2)×U(1) sigma model.

  3. Imprint of the black hole interior on thermal four-point correlators

    hep-th 2025-12 conditional novelty 6.0 of 10

    Analytically continuing and smearing thermal four-point correlators turns them into flat-space scattering amplitudes at a bulk point inside the black hole.

  4. Chiral Anomalous Magnetohydrodynamics in action: effective field theory and holography

    hep-th 2024-12 accept novelty 6.0 of 10

    The holographic Schwinger-Keldysh effective action for chiral anomalous magnetohydrodynamics matches the Landry-Liu EFT and generalizes it to finite background axial gauge field.

  5. Holographic Schwinger-Keldysh effective field theories including a non-hydrodynamic mode

    hep-th 2024-11 conditional novelty 6.0 of 10

    A holographic derivation of Schwinger-Keldysh effective actions for diffusion with a non-hydrodynamic mode, yielding the Maxwell-Cattaneo action for slow modes and a new frequency-dependent action for IR modes.

  6. Chiral phase transition: effective field theory and holography

    hep-th 2024-12 conditional novelty 5.0 of 10

    A Schwinger-Keldysh effective field theory for the chiral phase transition, with chiral charges and condensate as dynamical variables, is constructed and its coefficients are computed in a modified AdS/QCD model, with...

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