Shear viscosity of strongly coupled N = 4 supersymmetric Yang-Mills plasma.

By Giuseppe Policastro, D. Son, A. Starinets. Physical Review Letters, 2001

1,300 citations recorded by the source corpus.

Using the anti-de Sitter/conformal field theory correspondence, we relate the shear viscosity eta of the finite-temperature N = 4 supersymmetric Yang-Mills theory in the large N, strong-coupling regime with the absorption cross section of low-energy gravitons by a near-extremal black three-brane. We show that in the limit of zero frequency this cross section coincides with the area of the horizon. From this result we find eta = pi / 8N(2)T3. We conjecture that for finite 't Hooft coupling g(2)(YM)N the shear viscosity is eta = f(g(2)(YM)N)N2T3, where f(x) is a monotonic function that decreases from O(x(-2)ln(-1)(1/x)) at small x to pi/8 when x-->infinity.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/3fc024fa159a4ffd99cf832e31eec54d46aadb38

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Citations in the corpus

Sound waves in strongly coupled non-conformal gauge theory plasma (2005, background): “tions in the gauge/gravity correspondence [5, 6] makes it possible to study the real-time near-equilibrium processes (e.g. diﬀusion and sound propagation) in thermal gauge theories at strong coupling [7, 8, 9, 10, 11, 12, 13, 14, 15]. Computation of transport coeﬃcients in gauge theories whose gravi”
Improved Holographic QCD (2010, background): “This is similar in spirit to the holographic computation of the shear viscosity [72], but it is technically more involved.”
From Navier-Stokes to Einstein (2011, background): “In particular, excitations of a black hole horizon dissipate very much like those of a fluid [3–5, 12, 13, 28, 33–35], and there has been recent discussion of a holographic duality relating black holes and fluids [1, 8–10, 12, 14–17, 19, 21, 23, 24].”
Light quark energy loss in strongly coupled N=4 supersymmetric Yang-Mills plasma (2008, result): “[26] G.”
Effect of curvature squared corrections in AdS on the viscosity of the dual gauge theory (2007, background): “It has been shown, first for particular examples [9, 10, 11, 1] and later in general [12] that gauge theories that are dual to supergravity theories in AdS (without higher order terms) actually saturate the bound.”
A Holographic View on Physics out of Equilibrium (2010, result): “Notice that η/s = 1/(4π), in agreement with the well-known result of [147].”
Fluid dynamics of R-charged black holes (2008, methodology): “ some developments which allow one to relate the hydrodynamic regime of the gauge theory to black hole solutions in asymptotically AdS5 backgrounds. The ﬁrst work in this direction was carried out in [1] where the ratio of the shear viscosity η to the entropy density s of the N = 4 SU(N) supersymmet”
On universality of stress-energy tensor correlation functions in supergravity (2004, background): “diffusion and sound propagation) in strongly coupled thermal gauge theories [4–10].”
Causality of holographic hydrodynamics (2009, background): “ngly coupled gauge theories [2,11,12]. Furthermore, it is a context where the discussion of conformal ﬂuids becomes particularly relevant. With reference to the constraints above, one has η/s= 1/(4π) [13] and τΠT= (2−log2)/(2π) [2,11] for N= 4 super-Yang-Mills or any strongly coupled four-dimensiona”
The fluid/gravity correspondence: a new perspective on the membrane paradigm (2010, neutral): “Note that this verifies that our system indeed saturates the famous bound [45] on the viscosity-to-entropydensity ratio η s = 1 4π , in agreement with the well-known result of [13].”