Coupling constant dependence of the shear viscosity in N=4 supersymmetric Yang–Mills theory
By Alex Buchel, James T. Liu, A. Starinets. 2004
330 citations recorded by the source corpus.
Gauge theory–gravity duality predicts that the shear viscosity of N=4 supersymmetric SU(Nc) Yang–Mills plasma at temperature T in the limit of large Nc and large 't Hooft coupling gYM2Nc is independent of the coupling and equals to πNc2T3/8. In this paper, we compute the leading correction to the shear viscosity in inverse powers of 't Hooft coupling using the α′-corrected low-energy effective action of type IIB string theory. We also find the correction to the ratio of shear viscosity to the volume entropy density (equal to 1/4π in the limit of infinite coupling). The correction to 1/4π scales as (gYM2Nc)−3/2 with a positive coefficient.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/a7f25b2f6bead9541b909e136bbf03c23cc9eac0
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Citations in the corpus
- Gauged supergravity from type IIB string theory on Yp, q manifolds (2006, background): “However, further exploration of shear viscosity with chemical potential in strongly coupled four-dimensional gauge theory (1)Finite ’t Hooft coupling corrections to shear viscosity of the N = 4 supersymmetric SU(N) Yang-Mills theory plasma were discussed in [8, 9].”
- Thermalization with a chemical potential from AdS spaces (2012, methodology): “The first leading order string theory corrections to η/s of strongly coupled SYM plasmas have been computed in [9].”
- Photon and dilepton production in supersymmetric Yang-Mills plasma (2006, background): “[46] A.”
- Effect of curvature squared corrections in AdS on the viscosity of the dual gauge theory (2007, methodology): “[13], we add the appropriate Gibbons-Hawking boundary terms, and obtain the total action as the boundary term S (2) SG = VD−2 16κLDz 0 √”
- Holographic studies of quasi-topological gravity (2010, background): “These calculations were soon after extended to include higher curvature corrections to Einstein gravity, the first of example being the computation of the leading corrections to η/s for the strongly coupled N = 4 super-Yang-Mills theory [5, 6, 8].”
- String theory and quantum chromodynamics (2007, methodology): “Corrections to the entropy density [21] and the shear viscosity [22] of N = 4 SYM associated to going away from the strict λ → ∞ limit have been calculated, with the result that the ratio (29) is modified to”
- Fluid dynamics of R-charged black holes (2008, background): “Finite N corrections to (1) were considered in [9, 10, 6, 11, 12, 13, 7].”
- Sound waves in strongly coupled non-conformal gauge theory plasma (2005, background): “al for all such theories and equal to 1/4π. (Finite ’t Hooft coupling corrections to the shear viscosity of N = 4 supersymmetric SU(Nc) gauge theory plasma in the limit of infinite Nc were computed in [14].) Previously, it was shown [10] that the dual supergravity computations reproduce the expected ”
- Gravity and hydrodynamics: lectures on the fluid-gravity correspondence (2009, background): “zed fluid dynamics from linearized gravity in asymptotically AdS black hole backgrounds. The exploration of linearized hydrodynamics has been carried out in various different contexts over the years in [19, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43] and we refer the reader to ”