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The frequency-dependent scaling of the dispersive and dissipative parts ofthe alternating susceptibility is studied for spin glasses at criticality. Anextension of the usual $\omega t$-scaling is proposed. Simulational data fromthe three-dimensional Ising spin glass agree with this new scaling form andmoreover reproduce well the scaling functions explicitly calculated for systemssatisfying local scale-invariance. There is also a qualitative agreement withexisting experimental data.Comment: 19 pages, 2 figures, to appear in special issue of J. Phys. Cond.  Matt. dedicated to Lothar Schaefer on the occasion of his 60th birthday,  final form with IOP macro

On the scaling and ageing behaviour of the alternating susceptibility in spin glasses and local scale invariance