  We present an effective field theory for the Kondo lattice, which can
exhibit, in a certain range of parameters, a non Fermi liquid paramagnetic
phase at the brink of a zero temperature Anti Ferromagnetic (AF) transition.
The model is derived in a natural way from the bosonic Kondo-Heisenberg model,
in which the Kondo resonances are treated as true (but damped) Grassmann
fields. One loop Renormalization Group (RG) treatment of this model gives a
phase diagram for the Kondo lattice as a function of $ J_K $ where, for $ J_K<
J_c$ the system shows AF order, for $J_K> J_1$ one has the heavy electron phase
and for $ J_c < J_K < J_1$ the formation of the Kondo singlets is incomplete,
leading to the breakdown of the Landau Fermi liquid theory.

Strongly Correlated Electrons