AbstractWe solve several low temperature problems of an infinite range metallic spin glass model. A compensation problem ofT0 divergencies is solved for the free energy which helped to extract the quantum critical behaviour of the spin glass order parameters as a function of δJ =J–Jc(T= 0). The critical valueJc(T= 0) = 3/16pF−1of the frustrated spin couplingJ, which separates spin glass from nonmagnetic (spin liquid) phase, is determined exactly in the static saddle point solution for a semielliptic metallic band model in terms of the density of states at the Fermi level. In addition to the replica‐overlap order parameter 〈Qab〉,a≠b, the diagonal 〈Qaa〉 is confirmed as order parameter by the result 〈Qaa〉SP∼ (δJ)β, β = 1, and its susceptibility χaaaa∼(‐δJ)−γwith γ = 1/2 atT= 0. The value for γ agrees with the one for the transverse field Ising spin glass. The low γ decay of 〈Qaa〉, ∼Tis obtained exactly in the whole quantum di