Second-order hydrodynamics and universality in non-conformal holographic fluids

2016/10/31 by Philipp Kleinert, Jonas Probst · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Conformal field theory #Conformal map #Conformal symmetry #Cosmology and Gravitation Theories #Dual polyhedron #Geometry #High-Energy Particle Collisions Research #Lambda #Mathematical analysis #Mathematical physics #Mathematics #Order (exchange) #Physics #Quantum mechanics #Scalar (mathematics) #hep-th

paper · pdf · doi:10.1007/jhep12(2016)091

33 pages + 6 appendices, 5 figures; v2 as published in JHEP

openalex created_date 2016/10/14 · openalex publication_date 2016/12/01 · arxiv created 2017/03/27 · arxiv updated 2017/03/28 · openalex updated_date 2026/08/05

Abstract

We study second-order hydrodynamic transport in strongly coupled non-conformal field theories with holographic gravity duals in asymptotically anti-de Sitter space. We first derive new Kubo formulae for five second-order transport coefficients in non-conformal fluids in (3 + 1) dimensions. We then apply them to holographic RG flows induced by scalar operators of dimension Δ = 3. For general background solutions of the dual bulk geometry, we find explicit expressions for the five transport coefficients at infinite coupling and show that a specific combination, H=2η τ_π -2(κ -κ^∗)-λ₂ , always vanishes. We prove analytically that the Haack-Yarom identity H = 2ητ π − 4λ1 − λ2 = 0, which is known to be true for conformal holographic fluids at infinite coupling, also holds when taking into account leading non-conformal corrections. The numerical results we obtain for two specific families of RG flows suggest that H vanishes regardless of conformal symmetry. Our work provides further evidence that the Haack-Yarom identity H = 0 may be universally satisfied by strongly coupled fluids.

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