Transport coefficients of gluon plasma are calculated for an SU(3) pure gauge model by lattice QCD simulations on 16(3) x 8 and 24(3) x 8 lattices. Simulations are carried out at slightly above the deconfinement transition temperature T(c), where a new state of matter is currently being pursued in BNL RHIC experiments. Our results show that the ratio of the shear viscosity to the entropy is less than one and the bulk viscosity is consistent with zero in the region 1.4 < or = T/T(c) < or = 1.8.
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