Classical Strongly Coupled QGP: VII. Shear Viscosity and Self Diffusion

Understand

We construct the Liouville operator for the SU(2) classical colored Coulomb plasma (cQGP) for arbitrary values of the Coulomb coupling $\Gamma=V/K$, the ratio of the mean Coulomb to kinetic energy.

• We show that its resolvent in the classical colored phase space obeys a hierarchy of equations.
• We use a free streaming approximation to close the hierarchy and derive an integral equation for the time-dependent structure factor.
• Its reduction by projection yields hydrodynamical equations in the long-wavelength limit.