We perform a lattice Monte Carlo calculation of the two-point functions of the energy-momentum tensor at finite temperature in the SU(3) gauge theory. Unprecedented precision is obtained thanks to a multilevel algorithm. The lattice operators are renormalized nonperturbatively and the classical discretization errors affecting the correlators are corrected for. A conservative upper bound for the shear viscosity to entropy density ratio is derived, η/s<1.0, and our best estimate is η/s=0.134(33) at T=1.65Tc under the assumption of smoothness of the spectral function in the low-frequency region.
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Harvey B. Meyer (2007) studied this question.
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