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

Yanyan Bu; Xiyang Sun; Biye Zhang

doi:10.1007/JHEP08(2022)223

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

Yanyan Bu, Xiyang Sun, Biye Zhang

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

We construct effective field theory for SU(2) isospin charge diffusion, based on holographic Schwinger-Keldysh contour [1]. The holographic model consists of a probe SU(2) gauge field in a doubled Schwarzschild-AdS₅ geometry. Accurate to first order in derivative expansion, we analytically compute the effective action up to quartic order in dynamical variables. 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.

Original language	English
Article number	223
Journal	Journal of High Energy Physics
Volume	2022
Issue number	8
DOIs	https://doi.org/10.1007/JHEP08(2022)223
State	Published - 1 Aug 2022
Externally published	Yes

Keywords

AdS-CFT Correspondence
Gauge-Gravity Correspondence
Holography and Condensed Matter Physics (AdS/CMT)
Holography and Hydrodynamics

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1007/JHEP08(2022)223

Cite this

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title = "Holographic Schwinger-Keldysh field theory of SU(2) diffusion",

abstract = "We construct effective field theory for SU(2) isospin charge diffusion, based on holographic Schwinger-Keldysh contour [1]. The holographic model consists of a probe SU(2) gauge field in a doubled Schwarzschild-AdS5 geometry. Accurate to first order in derivative expansion, we analytically compute the effective action up to quartic order in dynamical variables. 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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author = "Yanyan Bu and Xiyang Sun and Biye Zhang",

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doi = "10.1007/JHEP08(2022)223",

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AU - Bu, Yanyan

AU - Sun, Xiyang

AU - Zhang, Biye

PY - 2022/8/1

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N2 - We construct effective field theory for SU(2) isospin charge diffusion, based on holographic Schwinger-Keldysh contour [1]. The holographic model consists of a probe SU(2) gauge field in a doubled Schwarzschild-AdS5 geometry. Accurate to first order in derivative expansion, we analytically compute the effective action up to quartic order in dynamical variables. 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.

AB - We construct effective field theory for SU(2) isospin charge diffusion, based on holographic Schwinger-Keldysh contour [1]. The holographic model consists of a probe SU(2) gauge field in a doubled Schwarzschild-AdS5 geometry. Accurate to first order in derivative expansion, we analytically compute the effective action up to quartic order in dynamical variables. 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.

KW - AdS-CFT Correspondence

KW - Gauge-Gravity Correspondence

KW - Holography and Condensed Matter Physics (AdS/CMT)

KW - Holography and Hydrodynamics

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DO - 10.1007/JHEP08(2022)223

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JF - Journal of High Energy Physics

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

Abstract

Keywords

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