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Long-ranged, or power-law, behavior of correlation functions in both spaceand time is discussed for classical systems and for quantum systems at finitetemperature, and is compared with the corresponding behavior in quantum systemsat zero temperature. The origin of the long-ranged correlations is explained interms of soft modes. In general, correlations at zero temperature are of longerrange than their finite temperature or classical counterparts. This phenomenonis due to additional soft modes that exist at zero temperature.Comment: 8 pp., 3 eps figs, final version as publishe

Long-range correlations and generic scale invariance in classical fluids and disordered electron systems