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Holographic Schwinger-Keldysh field theory of SU(2) diffusion

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arxiv 2205.00195 v2 pith:EGFA37RH submitted 2022-04-30 hep-th hep-phnucl-th

Yanyan Bu , Xiyang Sun , Biye Zhang This is my paper · ORCID
classification hep-thhep-phnucl-th
keywords effectivetheoryfieldholographicdynamicalquantumdiffusionnoises
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We construct effective field theory for SU(2) isospin charge diffusion, based on holographic Schwinger-Keldysh contour arXiv:2008.01269. The holographic model consists of a probe SU(2) gauge field in a doubled Schwarzschild-AdS$_5$ geometry. Accurate to first order in derivative expansion, we analytically compute the effective action up to quartic order in hydrodynamical fields. The effective theory contains both non-Gaussianity for noises and nonlinear interactions between noises and dynamical variables. Moreover, the effective theory captures both thermal and quantum fluctuations, which perfectly satisfy dynamical Kubo-Martin-Schwinger (KMS) symmetry at quantum level. Interestingly, the dynamical KMS symmetry, which is crucial in formulating non-equilibrium effective field theory for a quantum many-body system, is found to have a nice holographic interpretation.

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Cited by 3 Pith papers

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

  1. 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.

  2. 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.

  3. 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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