  We consider a fermionic many body system in Zd with a short range interaction
and quasi-periodic disorder. In the strong disorder regime and assuming a
Diophantine condition on the frequencies and on the chemical potential, we
prove at $T=0$ the exponential decay of the correlations and the vanishing of
the Drude weight, signaling Anderson localization in the ground state. The
proof combines Ward Identities, Renormalization Group and KAM Lindstedt series
methods.
