Deconstructing holographic liquids

By D. Nickel, D. Son. 2010

158 citations recorded by the source corpus.

We argue that there exist simple effective field theories describing the long-distance dynamics of holographic liquids. The degrees of freedom responsible for the transport of charge and energy–momentum are Goldstone modes. These modes are coupled to a strongly coupled infrared (IR) sector through emergent gauge and gravitational fields. The IR degrees of freedom are described holographically by the near-horizon part of the metric, whereas the Goldstone bosons are described by a field-theoretical Lagrangian. In the cases where the holographic dual involves a black hole, this picture allows for a direct connection between the holographic prescription where currents live on the boundary and the membrane paradigm where currents live on the horizon. The zero-temperature sound mode in the D3–D7 system is also re-analyzed and re-interpreted within this formalism.

Subfields: Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/3b0d43f1a70ef1196489ada8b83d5c5f01e8024d

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

1. M. Rangamani
2. Blaise Goutéraux
3. D. Harlow
4. E. Kiritsis
5. S. Hartnoll
6. J. Polchinski
7. Mike Blake
8. A. Adams

In Nuclear and High Energy Physics

1. M. Rangamani
2. D. Harlow
3. S. Hartnoll
4. V. Hubeny
5. Blaise Goutéraux
6. S. Sachdev
7. R. Myers
8. Hong Liu

Citations in the corpus

• The factorization problem in Jackiw-Teitelboim gravity (2018, methodology): “wo boundaries: from now on we will refer to it as the \time shift operator" From this point view, the time shift operator is quite similar to the one-sided \hydrodynamic modes" discussed in [34,35]. We thus have arrived at the following two-dimensional Hamiltonian system: _ = 1 _ h= 0 H= 2”
• Integrating out geometry: holographic Wilsonian RG and the membrane paradigm (2010, background): “The discussion follows the one that was recently given in [25], which we repeat here to highlight the role played by the effective action SB in this baby version of the refined membrane paradigm.”
• Generalized holographic quantum criticality at finite density (2011, background): “single boundary. The boundary is isomorphic to the space on which the dual quantum eld theory (gauge theory) lives. 3There are several works that contain a version or elements of the idea of the EHT, [7], although they vary in the focus or philosophy. { 4 { of an EFT, and their ordering in terms of ”
• The Effective Field Theorist's Approach to Gravitational Dynamics (2016, background): “For example, to study the gravitational self-force in the extreme mass ratio limit, in vacuum [122–125] and non-vacuum [126] spacetimes; the thermodynamics of caged black holes [127–129]; gravitational radiation in d > 4 dimensions [130–132]; the radiation-reaction force in electrodynamics [133, 134”
• Effective field theory of dissipative fluids (2015, background): “The set Xμ(σ), φ(σ) for a single side arises naturally in the holographic context as first pointed out in [55], which along with [39, 40] has been an important inspiration for our study.”
• Strongly correlated quantum fluids: ultracold quantum gases, quantum chromodynamic plasmas and holographic duality (2012, methodology): “Beyond providing new tools with which to model specific phenomena, holography has sometimes suggested new organizing principles for strongly quantum dynamics, as seen, for example, in semi-holographic models of non-Fermi liquids [309–311], or in the application of classical numerical relativity to s”
• Holographic and Wilsonian renormalization groups (2010, background): “It is interesting to note the recent paper [22], in which these nonlocal effects are precisely the interesting part of the physics.”
• A quantum hydrodynamical description for scrambling and many-body chaos (2017, background): “A single copy of such kind of variables was already used in [42] and more recently in [26, 43] for ideal fluids.”
• Adiabatic hydrodynamics: the eightfold way to dissipation (2015, background): “We advocate this as a sharp test for the proposals on how to think about AdS/CFT effective actions in the presence of horizons (see, for example [90]).”
• The Shear Viscosity to Entropy Ratio: A Status Report (2011, background): “It might be interesting to ask whether the type of flow described above can be understood more systematically in the framework of the recent attempts to refine notions of holographic RG flow [83–86], especially in the constructions of [84, 86].”
• Holographic Quantum Matter (2016, unknown): “A holographic Wilsonian discussion of the diffusive mode can be found in [256; 411; 577].”
• Effective field theory for hydrodynamics: Thermodynamics, and the derivative expansion (2011, background): “[11]—at low energies the Goldstone dynamics can be parameterized without any reference to the microscopic theory.”