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

作者：Kleinert Philipp; Probst Jonas

来源：The Journal of High Energy Physics, 2016, 2016(12): 091.

DOI：10.1007/JHEP12(2016)091

• AdS-CFT Correspondence
• Gauge-gravity correspondence
• Holography and quark-gluon plasmas

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 Delta = 3. For general background solutions of the dual bulk geometry, we find explicit expressions for the five transport coefficients at in finite coupling and show that a specific combination, (H) over tilde = 2 eta tau(pi) - 2(kappa - kappa*) lambda(2), always vanishes. We prove analytically that the Haack-Yarom identity H = 2 eta tau(pi) - 4 lambda(1) - lambda(2) = 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.

• 出版日期2016-12-19