Abstract
The spectrum of elementary excitations (``spin waves'') is computed within the Sherrington-Kirkpatrick model for spin glasses with single-ion uniaxial anisotropy. It is shown that in the longitudinal spin-glass phase (when only spin components along the ``easy axis'' are frozen) the spin-wave spectrum has a gap which vanishes, as the anisotropy is reduced, at a nonzero value of the anisotropy, namely at the critical value for the onset of transverse spin-glass freezing. The gap is computed as a function of the anisotropy.
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