Shear viscosity to relaxation time ratio in SU(3) lattice gauge theory

Understand

We evaluate the ratio of the shear viscosity to the relaxation time of the shear flux above but near the critical temperature $T_c$ in SU(3) gauge theory on the lattice.

• The ratio is related to Kubo's canonical correlation of the energy-momentum tensor in Euclidean space with the relaxation time approximation and an appropriate regularization.
• Using this relation, the ratio is evaluated by direct measurements of the Euclidean observables on the lattice.
• We obtained the ratio with reasonable statistics for the range of temperature $1.3T_c \lesssim T \lesssim 4T_c$.