On the Temperature Dependence of the Shear Viscosity and Holography
arXiv:1206.3581 · doi:10.1007/JHEP08(2012)167
Abstract
We examine the structure of the shear viscosity to entropy density ratio eta/s in holographic theories of gravity coupled to a scalar field, in the presence of higher derivative corrections. Thanks to a non-trivial scalar field profile, eta/s in this setup generically runs as a function of temperature. In particular, its temperature behavior is dictated by the shape of the scalar potential and of the scalar couplings to the higher derivative terms. We consider a number of dilatonic setups, but focus mostly on phenomenological models that are QCD-like. We determine the geometric conditions needed to identify local and global minima for eta/s as a function of temperature, which translate to restrictions on the signs and ranges of the higher derivative couplings. Finally, such restrictions lead to an holographic argument for the existence of a global minimum for eta/s in these models, at or above the deconfinement transition.
references added
References in corpus (21)
- 200 A GeV Au+Au collisions serve a nearly perfect quark-gluon liquid
- Exploring improved holographic theories for QCD: Part II
- On the Strongly-Interacting Low-Viscosity Matter Created in Relativistic Nuclear Collisions
- Effect of curvature squared corrections in AdS on the viscosity of the dual gauge theory
- Has the QCD Critical Point been Signaled by Observations at RHIC ?
- Hydrodynamic elliptic and triangular flow in Pb-Pb collisions at sqrt(s)=2.76ATeV
- Deconfinement and Gluon Plasma Dynamics in Improved Holographic QCD
- Influence of the shear viscosity of the quark-gluon plasma on elliptic flow in ultrarelativistic heavy-ion collisions
- Violation of the Holographic Viscosity Bound in a Strongly Coupled Anisotropic Plasma
- The Shear Viscosity to Entropy Ratio: A Status Report
- Holography for Einstein-Maxwell-dilaton theories from generalized dimensional reduction
- Non-universal shear viscosity from Einstein gravity
- The viscosity of quark-gluon plasma at RHIC and the LHC
- Thermodynamics of SU(N) Yang-Mills theories in 2+1 dimensions II - The deconfined phase
- Transport in Anisotropic Superfluids: A Holographic Description
- Continuous Hawking-Page transitions in Einstein-scalar gravity
- Quark-Gluon Plasma at RHIC and the LHC: Perfect Fluid too Perfect?
- Trouble Finding the Optimal AdS/QCD
- Generating Temperature Flow for eta/s with Higher Derivatives: From Lifshitz to AdS
- Analytic Approaches to anisotropic Holographic Superfluids
- Running Shear Viscosities in Anisotropic Holographic Superfluids
Cited by in corpus (26)
- Momentum transport in strongly coupled anisotropic plasmas in the presence of strong magnetic fields
- Dynamical vs. equilibrium properties of the QCD phase transition: a holographic perspective
- Holographic Axion Model: a simple gravitational tool for quantum matter
- Hydrodynamic predictions for 5.02 TeV Pb-Pb collisions
- Hot QCD Phase Diagram From Holographic Einstein-Maxwell-Dilaton Models
- The QCD phase diagram and Beam Energy Scan physics: a theory overview
- Transport coefficients of a hot QCD medium and their relative significance in heavy-ion collisions
- On the interplay between magnetic field and anisotropy in holographic QCD
- Bounds on charge and heat diffusivities in momentum dissipating holography
- The dynamical holographic QCD method for hadron physics and QCD matter
- Universality of second order transport in Gauss-Bonnet gravity
- Effective holographic models for QCD: Thermodynamics and viscosity coefficients
- Temperature Effect on Shear and Bulk Viscosities of QCD Matter
- Similarity between the kinematic viscosity of quark-gluon plasma and liquids at the viscosity minimum
- Viscosity bound for anisotropic superfluids in higher derivative gravity
- Van der Waals-like Behaviour of Charged Black Holes and Hysteresis in the Dual QFTs
- A modulated shear to entropy ratio
- Nernst response, viscosity and mobile entropy in vortex liquids
- Breaking rotations without violating the KSS viscosity bound
- On the universality of thermodynamics and ratio for the charged Lovelock black branes
- Holographic study of shear viscosity and butterfly velocity for magnetic field-driven quantum criticality
- Backreaction effects due to matter coupled higher derivative gravity
- Shear and bulk viscosity for a pure glue theory using an effective matrix model
- Hysteresis in for QFTs dual to spherical black holes
- Dynamical holographic QCD model
- Strongly interacting matter from holographic QCD model