Ginzburg-Landau effective action for a fluctuating holographic superconductor

Bu, Yanyan; Fujita, Mitsutoshi; Lin, Shu

doi:10.1007/jhep09(2021)168

Cited by 13 publications

(18 citation statements)

References 66 publications

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“…If we were to attempt computing a generating function of current correlators we would be forced to confront the fact that we are missing degrees of freedom. Earlier works [4,29] and the more recent [28] attempt to take the difference current off-shell by postulating some new sources on the horizon. This is a somewhat ad-hoc procedure as explained in [1].…”

Section: Jhep01(2022)145mentioning

confidence: 99%

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An effective description of momentum diffusion in a charged plasma from holography

Loganayagam

Rangamani

et al. 2022

J. High Energ. Phys.

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We discuss the physics of momentum diffusion in a charged plasma. Following the holographic strategy outlined in [1] we construct an open effective field theory for the low-lying modes of the conserved currents. The charged plasma is modeled holographically in terms of a Reissner-Nordström-AdSd+1 black hole. We analyze graviton and photon fluctuations about this background, decoupling in the process the long-lived momentum diffusion mode from the short-lived charged transport mode. Furthermore, as in the aforementioned reference, we argue that the dynamics of these modes are captured by a set of designer scalars in the background geometry. These scalars have their gravitational coupling modulated by an auxiliary dilaton with long-lived modes being weakly coupled near the spacetime asymptopia. Aided by these observations, we obtain the quadratic effective action that governs the fluctuating hydrodynamics of the charge current and stress tensor, reproducing in the process transport data computed previously. We also point out an interesting length scale lying between the inner and outer horizon radii of the charged black hole associated with Ohmic conductivity.

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Section: Jhep01(2022)145mentioning

confidence: 99%

Section: Jhep01(2022)145 1 Introductionmentioning

confidence: 99%

An effective description of momentum diffusion in a charged plasma from holography

Loganayagam

Rangamani

et al. 2022

J. High Energ. Phys.

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“…We refer the reader to the introduction of [1] (which we build on) for an overview of the salient developments. Applications of the real-time holographic techniques to diverse settings are discussed in the recent works [24][25][26][27][28]. lived) physical charge waves in the plasma, and a single non-Markovian degree of freedom corresponding to the long-lived charge diffusion mode.…”

Section: Introductionmentioning

confidence: 99%

An effective description of momentum diffusion in a charged plasma from holography

He,

Loganayagam,

Rangamani

et al. 2021

Preprint

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We discuss the physics of momentum diffusion in a charged plasma. Following the holographic strategy outlined in [1] we construct an open effective field theory for the low-lying modes of the conserved currents. The charged plasma is modeled holographically in terms of a Reissner-Nordström-AdS d+1 black hole. We analyze graviton and photon fluctuations about this background, decoupling in the process the long-lived momentum diffusion mode from the short-lived charged transport mode. Furthermore, as in the aforementioned reference, we argue that the dynamics of these modes are captured by a set of designer scalars in the background geometry. These scalars have their gravitational coupling modulated by an auxiliary dilaton with long-lived modes being weakly coupled near the spacetime asymptopia. Aided by these observations, we obtain the quadratic effective action that governs the fluctuating hydrodynamics of charge current and stress tensor, reproducing in the process transport data computed previously. We also point out an interesting length scale lying between the inner and outer horizon radii of the charged black hole associated with Ohmic conductivity.

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“…It can be checked that our identification of the source in (5.5) agrees with the expectation from the WIF (5.4) (which we expect on general grounds from [6]) and is verified in Appendix B. Isolating a factor of k 2 in the WIF results in stripping off a similar factor from the conjugate momentum (5.5). 15 The rescaling by a factor of k 2 is only allowed since we are focusing on spatially inhomogeneous modes and are implicitly working with k > k IR .…”

Section: The Sound Wilsonian Influence Functionalmentioning

confidence: 99%

“…Recently, such open EFTs were constructed from holography: for instance, [5] describes the non-linear dynamics of quasinormal modes associated with probes that have short lifetimes of order the thermal scale, and [6,7] (cf., also [8][9][10]) describe the physics of diffusion which originates from the fact that the conserved currents of plasma have long-lived modes. Other related work includes [11][12][13][14][15]. Progress in this direction was spurred by [8] who gave a simple geometric proposal for computing real-time, Schwinger-Keldysh ordered observables in holography (cf., [16][17][18][19] for earlier work in this direction).…”

Section: Introductionmentioning

confidence: 99%

The timbre of Hawking gravitons: an effective description of energy transport from holography

He,

Loganayagam,

Rangamani

et al. 2022

Preprint

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Planar black holes in AdS, which are holographically dual to compressible relativistic fluids, have a long-lived phonon mode that captures the physics of attenuated sound propagation and transports energy in the plasma. We describe the open effective field theory of this fluctuating phonon degree of freedom. The dynamics of the phonon is encoded in a single scalar field whose gravitational coupling has non-trivial spatial momentum dependence. This description fits neatly into the paradigm of classifying gravitational modes by their Markovianity index, depending on whether they are long-lived. The sound scalar is a non-Markovian field with index 3 − d for a d-dimensional fluid. We reproduce (and extend) the dispersion relation of the holographic sound mode to quartic order in derivatives, constructing in the process the effective field theory governing its attenuated dynamics and associated stochastic fluctuations. We also remark on the presence of additional spatially homogeneous zero modes in the gravitational problem, which remain disconnected from the phonon Goldstone mode.

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Ginzburg-Landau effective action for a fluctuating holographic superconductor

Cited by 13 publications

References 66 publications

An effective description of momentum diffusion in a charged plasma from holography

An effective description of momentum diffusion in a charged plasma from holography

An effective description of momentum diffusion in a charged plasma from holography

The timbre of Hawking gravitons: an effective description of energy transport from holography

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