  We investigate a system of dense polyelectrolytes in solution. The Langevin
dynamics of the system with linearized hydrodynamics is formulated in the
functional integral formalism and a transformation made to collective
coordinates. Within a dynamical Random Phase Approximation (RPA) integration
over the counter- and salt ions produces the Debye-H\"uckel-like screening of
the Coulomb interactions with dependence on the frequency only as part of a
more complicated coupling structure. We investigate the dynamics of the
structure factor as well as the collective diffusion coefficient and comment
upon the viscosity of the whole system of polymers with counterions and fluid
in the simplest approximation. The coupling of the various components of the
system produces nontrivial diffusive behavior. We draw conclusions about the
relationship of the three length scales in the present system, i.e. the static
screening length, the hydrodynamic screening length and the Debye length.
