  We study the low energy behavior of QCD Green functions in the limit that the
baryon chemical potential is much larger than the QCD scale parameter
$\Lambda_QCD$. We show that there is a systematic low energy expansion in
powers of $(\omega/m)^{1/3}$, where $\omega$ is the energy and $m$ is the
screening scale. This expansion is valid even if the effective quark-gluon
coupling $g$ is not small. The expansion is purely perturbative in the magnetic
regime $|\vec{k}| \gg k_0$. If the external momenta and energies satisfy $k_0
\sim |\vec{k}|$, planar, abelian ladder diagrams involving the full quark
propagator have to be resummed but the corresponding Dyson-Schwinger equations
are closed.
