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We present an effective field theory for the Kondo lattice, which canexhibit, in a certain range of parameters, a non Fermi liquid paramagneticphase 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) Grassmannfields. One loop Renormalization Group (RG) treatment of this model gives aphase 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 phaseand 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.Comment: 5 pages, 3 figure

The fate of Kondo resonances in certain Kondo lattices: a ‘poor woman’s’ scaling analysis