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Coupling constant dependence of the shear viscosity in N=4 supersymmetric Yang-Mills theory
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Gauge theory - gravity duality predicts that the shear viscosity of N=4 supersymmetric SU(N_c) Yang-Mills plasma at temperature T in the limit of large N_c and large 't Hooft coupling g^2_{YM} N_c is independent of the coupling and equals to \pi N_c^2 T^3/8. In this paper, we compute the leading correction to the shear viscosity in inverse powers of 't Hooft coupling using the \alpha'-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 1/4\pi in the limit of infinite coupling). The correction to 1/4\pi scales as (g^2_{YM} N_c)^{-3/2} with a positive coefficient.
Forward citations
Cited by 3 Pith papers
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Padé interpolation between NLO weak- and strong-coupling results places the thermal N=4 SYM transition region at 't Hooft coupling λ roughly between 3 and 14.
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