Abstract
We review simple renormalization group schemes that could be used in studies of quantum spin glasses and all of them are found not to be satisfactory. The Suzuki- Takano decimation method makes a spin glass behave like a ferromagnet. The truncation method predicts the scaling of the one-dimensional XY quantum glasses to be governed by an exponential and a power law for the Gaussian and bimodal couplings respectively. In the two-dimensional case, systems with both Gaussian and bimodal couplings show paramagnetic behavior even at T = 0. In the bimodal case the results are similar to those obtained for the corresponding classical systems within the Migdal-Kadanoff scheme in the harmonic approximation. Studies of XY spin systems on hierarchical lattices within the truncation approximation indicate a lower critical dimensionality which is smaller than the corresponding value for the classical model.
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