Universal relations of transport coefficients from holography
arXiv:0905.2969 · doi:10.1103/PhysRevD.80.066006
Abstract
We show that there are universal high-temperature relations for transport coefficients of plasmas described by a wide class of field theories with gravity duals. These theories can be viewed as strongly coupled large-Nc conformal field theories deformed by one or more relevant operators. The transport coefficients we study are the speed of sound and bulk viscosity, as well as the conductivity, diffusion coefficient, and charge susceptibility of probe U(1) charges. We show that the sound bound v_s^2 <= 1/3 is satisfied at high temperatures in these theories and also discuss bounds on the diffusion coefficient, the conductivity and the bulk viscosity.
9 pages, 3 figures. Added references, fixed typos, corrected discussion of expansion
References in corpus (19)
- Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
- Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
- Viscosity, Black Holes, and Quantum Field Theory
- Schwinger-Keldysh Propagators from AdS/CFT Correspondence
- Universality of the hydrodynamic limit in AdS/CFT and the membrane paradigm
- Effect of curvature squared corrections in AdS on the viscosity of the dual gauge theory
- Metallic AdS/CFT
- Quantum critical transport, duality, and M-theory
- Beyond eta/s = 1/4pi
- Mimicking the QCD equation of state with a dual black hole
- Thermodynamics and bulk viscosity of approximate black hole duals to finite temperature quantum chromodynamics
- Bulk viscosity of gauge theory plasma at strong coupling
- Deconfinement and Gluon Plasma Dynamics in Improved Holographic QCD
- Holographic spectral functions and diffusion constants for fundamental matter
- Is there a "most perfect fluid" consistent with quantum field theory?
- Thermodynamics of the N=2^* strongly coupled plasma
- Quasinormal spectrum and the black hole membrane paradigm
- Higher derivative effects on eta/s at finite chemical potential
- A sticky business: the status of the conjectured viscosity/entropy density bound