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Cited by 29Black Holes and Theoretical PhysicsNoncommutative and Quantum Gravity TheoriesHigh-Energy Particle Collisions Research

Spacetime emergence via holographic RG flow from incompressible Navier-Stokes at the horizon

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Kuperstein, Stanislav, Mukhopadhyay, Ayan·2013·Journal of High Energy Physics
DOI 10.1007/jhep11(2013)086
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Abstract

We show that holographic RG flow can be defined precisely such that it corresponds to emergence of spacetime. We consider the case of pure Einstein’s gravity with a negative cosmological constant in the dual hydrodynamic regime. The holographic RG flow is a system of first order differential equations for radial evolution of the energy-momentum tensor and the variables which parametrize it’s phenomenological form on hypersurfaces in a foliation. The RG flow can be constructed without explicit knowledge of the bulk metric provided the hypersurface foliation is of a special kind. The bulk metric can be reconstructed once the RG flow equations are solved. We show that the full spacetime can be determined from the RG flow by requiring that the horizon fluid is a fixed point in a certain scaling limit leading to the non-relativistic incompressible Navier-Stokes dynamics. This restricts the near-horizon forms of all transport coefficients, which are thus determined independently of their asymptotic values and the RG flow can be solved uniquely. We are therefore able to recover the known boundary values of almost all transport coefficients at the first and second orders in the derivative expansion. We conjecture that the complete characterisation of the general holographic RG flow, including the choice of counterterms, might be determined from the hydrodynamic regime.

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  • This is possible only if the transport coefficients do not blow up faster than certain bounds as Λ approaches Λ_h.

    “This is however possible only if the transport coefficients do not blow up faster than certain bounds as Λ approaches Λ h .”

    From Holographic spacetime, black holes and quantum error correcting codes: a review (2022) · cites this paper as [203]

  • If one redefines time and the scale in a universal way, then the singularity actually transforms to a fixed point described by nonrelativistic incompressible Navier-Stokes equations with a single parameter, namely the shear-viscosity.

    “However, if one redefines time and the scale in a universal way (analogous to taking the near-horizon limit), then the singularity actually transforms to a fixed point described by nonrelativistic incompressible Navier-Stokes equations with a single parameter, namely the shear-viscosity.”

    From Holographic spacetime, black holes and quantum error correcting codes: a review (2022) · cites this paper as [203]

  • It was shown that there is a particular scale Λ_h where there is naively a singularity in the RG flow with the pressure and most transport coefficients blowing up - this scale corresponds to the horizon in the dual geometry.

    “It was shown that there is a particular scale Λ h where there is naively a singularity in the RG flow with the pressure and most transport coefficients blowing up -this scale corresponds to the horizon in the dual geometry.”

    From Holographic spacetime, black holes and quantum error correcting codes: a review (2022) · cites this paper as [203]

Cites

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Research works printed but not linked: 23

  1. B. Swingle, Entanglement renormalization and holography, Phys. Rev. D 86 (2012) 065007 [arXiv:0905.1317] [INSPIRE]. · arXiv
  2. T. Faulkner, H. Liu and M. Rangamani, Integrating out geometry: holographic wilsonian RG and the membrane paradigm, JHEP 08 (2011) 051 [arXiv:1010.4036] [INSPIRE]. · arXiv
  3. M.R. Douglas, L. Mazzucato and S.S. Razamat, Holographic dual of free field theory, Phys. Rev. D 83 (2011) 071701 [arXiv:1011.4926] [INSPIRE]. · arXiv
  4. K. Sen, A. Sinha and N.V. Suryanarayana, Counterterms, critical gravity and holography, Phys. Rev. D 85 (2012) 124017 [arXiv:1201.1288] [INSPIRE]. · arXiv
  5. B. Swingle, Constructing holographic spacetimes using entanglement renormalization, arXiv:1209.3304 [INSPIRE]. · arXiv
  6. Y. Nakayama, Holographic interpretation of renormalization group approach to singular perturbations in non-linear differential equations, arXiv:1305.4117 [INSPIRE]. · arXiv
  7. I. Sachs, Higher spin vs. renormalization group equations, arXiv:1306.6654 [INSPIRE]. · arXiv
  8. R.A. Janik and R.B. Peschanski, Asymptotic perfect fluid dynamics as a consequence of AdS/CFT, Phys. Rev. D 73 (2006) 045013 [hep-th/0512162] [INSPIRE]. · arXiv
  9. T. Damour, Surface effects in black hole physics, in the proceedings of the Second Marcel Grossmann Meeting on general Relativity, R. Ruffini ed., North-Holland, The Netherlands (1982).
  10. T. Damour, Black hole Eddy currents, Phys. Rev. D 18 (1978) 3598 [INSPIRE].
  11. R. Price and K. Thorne, Membrane viewpoint on black holes: properties and evolution of the stretched horizon, Phys. Rev. D 33 (1986) 915 [INSPIRE].
  12. K.S. Thorne, R. Price and D. Macdonald, Black holes: the membrane paradigm, The Silliman Memorial Lectures Series, Yale University Press, U.S.A. (1986).
  13. T. Damour and M. Lilley, String theory, gravity and experiment, arXiv:0802.4169 [INSPIRE]. · arXiv
  14. L.-Y. Chen, N. Goldenfeld and Y. Oono, The renormalization group and singular perturbations: multiple scales, boundary layers and reductive perturbation theory, Phys. Rev. E 54 (1996) 376 [hep-th/9506161] [INSPIRE]. · arXiv
  15. V. Lysov and A. Strominger, From Petrov-Einstein to Navier-Stokes, arXiv:1104.5502 [INSPIRE]. · arXiv
  16. M.M. Caldarelli, J. Camps, B. Gouteraux and K. Skenderis, AdS/Ricci-flat correspondence and the Gregory-Laflamme instability, Phys. Rev. D 87 (2013) 061502 [arXiv:1211.2815] [INSPIRE]. · arXiv
  17. N. Iqbal and H. Liu, Universality of the hydrodynamic limit in AdS/CFT and the membrane paradigm, Phys. Rev. D 79 (2009) 025023 [arXiv:0809.3808] [INSPIRE]. · arXiv
  18. M.M. Caldarelli et al., Vorticity in holographic fluids, PoS(CORFU2011)076 [arXiv:1206.4351] [INSPIRE]. · arXiv
  19. R. Iyer and A. Mukhopadhyay, An AdS/CFT connection between Boltzmann and Einstein, Phys. Rev. D 81 (2010) 086005 [arXiv:0907.1156] [INSPIRE]. · arXiv
  20. R. Iyer and A. Mukhopadhyay, Homogeneous relaxation at strong coupling from gravity, Phys. Rev. D 84 (2011) 126013 [arXiv:1103.1814] [INSPIRE]. · arXiv
  21. S. Banerjee, R. Iyer and A. Mukhopadhyay, The holographic spectral function in non-equilibrium states, Phys. Rev. D 85 (2012) 106009 [arXiv:1202.1521] [INSPIRE]. · arXiv
  22. A. Mukhopadhyay, Nonequilibrium fluctuation-dissipation relation from holography, Phys. Rev. D 87 (2013) 066004 [arXiv:1206.3311] [INSPIRE]. · arXiv
  23. C. Eling, I. Fouxon and Y. Oz, Gravity and a geometrization of turbulence: an intriguing correspondence, arXiv:1004.2632 [INSPIRE]. · arXiv

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Related

Authors
Kuperstein, S., & Mukhopadhyay, A.
Affiliations
Centre National de la Recherche Scientifique (FR)
Corresponding author
Mukhopadhyay, Ayan
ORCID
Mukhopadhyay, Ayan
Venue
Journal of High Energy Physics
Publisher
Springer Science and Business Media LLC
Published
2013-11
Volume
2013
Issue
11
ISSN
1029-8479 (ISSN-L)
DOI
10.1007/jhep11(2013)086
OpenAlex
W2053566355
Cited by
29
References
54
Citations by year
2024: 2 · 2022: 1 · 2019: 1 · 2018: 4 · 2017: 4 · 2016: 3 · 2015: 6 · 2014: 7 · 2013: 1
FWCI
2.59
Type
journal article
Language
en
Open access
Licence
Locations
  • Journal of High Energy Physics (publishedVersion, cc-by)
  • arXiv (Cornell University) (submittedVersion)
  • arXiv (Cornell University)
Funders
  • CERN
  • European Commission (237920)
  • Agence Nationale de la Recherche (05-BLAN- NT09-573739, ANR-08-JCJC-0001, ANR-10-LABX-0038)
  • FP7 Ideas: European Research Council (259133, 240210, 226371)
Topics
  • Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
  • Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Noncommutative and Quantum Gravity Theories
  • Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › High-Energy Particle Collisions Research
Keywords
emergent spacetime, holographic renormalization group flow, AdS/CFT correspondence, incompressible Navier-Stokes equations, hydrodynamic regime, energy-momentum tensor, transport properties, derivative expansion, counterterms, AdS black holes

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