  Using the fractional moment method it is shown that, within the Hartree-Fock
approximation for the Disordered Hubbard Hamiltonian, weakly interacting
Fermions at positive temperature exhibit localization, suitably defined as
exponential decay of eigenfunction correlators. Our result holds in any
dimension in the regime of large disorder and at any disorder in the one
dimensional case. As a consequence of our methods, we are able to show H\"older
continuity of the integrated density of states with respect to energy, disorder
and interaction using known techniques.
