Coupling constant dependence of the shear viscosity in N = 4 supersymmetric Yang-Mills theory
نویسندگان
چکیده
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 g 2 YMNc is independent of the coupling and equals to πN c T /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 (g YMNc) −3/2 with a positive coefficient.
منابع مشابه
Yang-Mills theory at finite coupling
Gauge theory-string theory duality describes strongly coupled N = 4 supersymmetric SU(nc) Yang-Mills theory at finite temperature in terms of near extremal black 3-brane geometry in type IIB string theory. We use this correspondence to compute the leading correction in inverse ’t Hooft coupling to the shear diffusion constant, bulk viscosity and the speed of sound in the large-nc N = 4 supersym...
متن کاملShear viscosity of strongly coupled N = 4 supersymmetric Yang-Mills plasma.
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 horiz...
متن کاملShear viscosity of boost invariant plasma at finite coupling
We discuss string theory α ′ corrections in the dual description of the expanding boost invariant N = 4 supersymmetric Yang-Mills plasma at strong coupling. We compute finite 't Hooft coupling corrections to the shear viscosity and find that it disagrees with the equilibrium correlation function computations. We comment on the possible
متن کاملShear viscosity of pure Yang-Mills theory at strong coupling
We calculate the shear viscosity to entropy density ratio in pure SU(N) Yang-Mills theory using the strong coupling expansion. The result for the η/s ratio for temperatures around the phase transition is 0.056 for any value of N , however the systematic uncertainty is hard to estimate.
متن کاملStatic Potential in N = 4 Supersymmetric Yang - Mills Theory
We compute the leading order perturbative correction to the static potential in N = 4 supersymmetric Yang-Mills theory. We show that the perturbative expansion contains infrared logarithms which, when resummed, become logarithms of the coupling constant. The resulting correction goes in the right direction to match the strong coupling behavior obtained from the AdS/CFT correspondence. We find t...
متن کامل