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We calculate the shear viscosity to entropy density ratio in pure SU(N)Yang-Mills theory below the critical temperature using the strong couplingexpansion. The result for the eta/s ratio for temperatures around the phasetransition is 0.22 for N = 2 and 0.028N^2 for N > 2. The results are consistentwith the conjectured 1/4pi lower bound inspired by the AdS/CFT correspondence.

Shear viscosity of pure Yang-Mills theory at strong coupling