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

Bu, Yanyan; Sun, Xuejian; Zhang, Biye

doi:10.1007/jhep08(2022)223

Cited by 7 publications

(4 citation statements)

References 76 publications

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“…The first of these works focused on momentum diffusion, while the second tackled attenuated sound propagation. 1 For other works analyzing thermal real-time dynamics from AdS black hole backgrounds see [15][16][17][18][19][20][21][22].…”

Section: Jhep03(2023)161mentioning

confidence: 99%

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An effective description of charge diffusion and energy transport in a charged plasma from holography

Loganayagam

Rangamani

et al. 2023

J. High Energ. Phys.

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We discuss the physics of sound propagation and charge diffusion in a plasma with non-vanishing charge density. Our analysis culminates the program initiated in [1] to construct an open effective field theory of low-lying modes of the stress tensor and charge current in such plasmas. We model the plasma holographically as a Reissner-Nordström-AdSd+1 black hole, and study linearized fluctuations of longitudinally polarized scalar gravitons and photons in this background. We demonstrate that the perturbations can be decoupled and repackaged into the dynamics of two designer scalars, whose gravitational coupling is modulated by a non-trivial dilatonic factor. The holographic analysis allows us to isolate the phonon mode from the charge diffusion mode, and identify the combination of currents that corresponds to each of them. We use these results to obtain the real-time Gaussian effective action, which includes both the retarded response and the associated stochastic (Hawking) fluctuations, accurate to quartic order in gradients.

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Section: Jhep03(2023)161mentioning

confidence: 99%

“…We claim that the currents can be decomposed into an ideal, a non-ideal, 22 and a polarization contribution, respectively, in the following manner:…”

Section: Jhep03(2023)161mentioning

confidence: 99%

An effective description of charge diffusion and energy transport in a charged plasma from holography

Loganayagam

Rangamani

et al. 2023

J. High Energ. Phys.

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“…given holographic model directly from its gravitational bulk dynamics. These techniques have been rapidly growing and have already been applied to many holographic systems [32][33][34][35][36][37][38][39][39][40][41][42][43][44][45][46].…”

Section: Jhep09(2023)019mentioning

confidence: 99%

U(1) quasi-hydrodynamics: Schwinger-Keldysh effective field theory and holography

Baggioli,

Bu,

Ziogas

2023

J. High Energ. Phys.

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We study the quasi-hydrodynamics of a system with a softly broken U(1) global symmetry using effective field theory (EFT) and holographic methods. In the gravity side, we consider a holographic Proca model in the limit of small bulk mass, which is responsible for a controllable explicit breaking of the U(1) global symmetry in the boundary field theory. We perform a holographic Schwinger-Keldysh analysis, which allows us to derive the form of the boundary effective action in presence of dissipation. We compare our results with the previously proposed EFT and hydrodynamic theories, and we confirm their validity by computing the low-energy quasi-normal modes spectrum analytically and numerically. Additionally, we derive the broken holographic Ward identity for the U(1) current, and discuss the recently proposed novel transport coefficients for systems with explicitly broken symmetries. The setup considered is expected to serve as a toy model for more realistic situations where quasi-hydrodynamics is at work, such as axial charge relaxation in QCD, spin relaxation in relativistic systems, electric field relaxation in magneto-hydrodynamics, or momentum relaxation in condensed matter systems.

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“…We have only expanded L to the lowest order in temporal gradient and to quartic order in the fields. Structure like (1) has been obtained from holographic model calculations [15,16]. We have ignored spatial gradient terms, reducing the problem into an effectively quantum mechanical one.…”

mentioning

confidence: 99%

Non-Gaussianity from Nonlinear Effective Field Theory

Lin¹,

Bu²,

Chang³

2023

Preprint

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We have studied nonlinear effect in an effective field theory model. Focusing on the nonlinear terms in the fluctuation field, we have established two stochastic formulations of the effective field theory, with the nonlinear terms manifested as multiple non-Gaussian noises in the Langevin equation and as higher order diffusive terms in the Fokker-Planck equation. The equivalence of the stochastic formulations with the original effective field theory have been checked, for arbitrary nonlinear parameters, with non-trivial examples. The stochastic formulations can be used to study nonequilibrium dynamics more effectively. Our results also suggest the nonlinearity in the fluctuation field is solvable and free of divergence.

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

Cited by 7 publications

References 76 publications

An effective description of charge diffusion and energy transport in a charged plasma from holography

An effective description of charge diffusion and energy transport in a charged plasma from holography

U(1) quasi-hydrodynamics: Schwinger-Keldysh effective field theory and holography

Non-Gaussianity from Nonlinear Effective Field Theory

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