almost completely filled, so that the magnetization of the few singly occupied orbitals, favored by hole doping, is not expected to contribute significantly to the magnetic properties of the system.

Nevertheless, conduction band electrons can be indirectly affected by the magnetic polarization of the $f$-orbital moments, through their local binding. To illustrate this point, we show in the evolution of the low energy part of $\Im\Sigma_p(\iome)$ as a function of a uniform magnetic field $\mathbf{B}$. Apparently the NFL state turns into a normal metallic state by the action of an external magnetic field. It is however worth noting that the Fermi liquid is recovered for $B\simeq0.05D$, a huge value if compared with experimentally accessible fields. This large value is a direct consequence of the large (order one) value of $\tpd$, chosen to emphasize the hybridization effects and their role in the conduction properties of the model. Smaller and more realistic values of this parameter are expected to reduce the critical field by reducing the charge fluctuations at correlated $f$-orbitals.

The crossover to a Fermi liquid state driven by external magnetic field is not surprising in light of our analysis. Upon increasing the magnetic field a larger and larger number of 