Aspects of a renormalized weak plasma turbulence theory

A renormalized Vlasov turbulence theory, derived by neglecting a mode coupling term in the direct interaction approximation, is discussed. The theory reduces correctly to weak turbulence theory; it predicts both diffusion and polarization effects of the turbulent medium on test particles, as well as the inverse effects of the test particles on the medium. A heuristic, physical algorithm is presented for constructing the equations. The theory of the renormalized dielectric function is reviewed.