  Classical transport theory is used to study the response of a non-Abelian
plasma at zero temperature and high chemical potential to weak color
electromagnetic fields. In this article the parallelism between the transport
phenomena occurring in a non-Abelian plasma at high temperature and high
density is stressed. Particularly, it is shown that at high densities it is
also possible to relate the transport equations to the zero-curvature condition
of a Chern-Simons theory in three dimensions, even when quarks are not
considered ultrarelativistic. The induced color current in the cold plasma can
be expressed as an average over angles, which represent the directions of the
velocity vectors of quarks having Fermi energy. From this color current it is
possible to compute $n$-point gluonic amplitudes, with arbitrary $n$. It is
argued that these amplitudes are the same as the ones computed in the high
chemical potential limit of QCD, that are then called hard dense loops. The
agreement between the two different formalisms is checked by computing the
polarization tensor of QED due to finite density effects in the high density
limit.
