  We analyze the infinite range Ising spin-glass in a transverse-field below
the critical temperature by a one step replica symmetry theory(1S-RSB). The set
of n replicas is divided in r blocks of m replicas each. We present results for
different values of the block-size parameter m. The spin operators are
represented by bilinear combinations of fermionic fields and we compare the
results of two models: in the four state (4S)-model the diagonal S^z operator
has two unphysical vanishing eigenvalues, that are suppressed by a restraint in
the two states (2S)-model. In the static approximation we obtain qualitatively
similar results for both models. They both exhibit a critical temperature that
decreases when the transverse field increases,until it reaches a quantum
critical point (QCP) at the same value of the critical field, and they are both
unstable under replica symmetry breaking in the whole spin glass phase. Below
the critical temperature we present results for the order parameters and free
energy.
