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Measurements of infrared conductivity in the normal state of the cupratelayer metals show a characteristic behavior in the plane of the layers which isin essential agreement among many experiments. A simple parametrization of thisbehavior, proposed originally by Collins and Schlesinger, and exploited by N.Bontemps and her group, which gives an adequate fit over frequencies from a fewhundred cm$^{-1}$ to $>5000 $ cm$^{-1}$, is that the phase angle of the complexconductivity is independent of frequency. This fit is shown to be a naturalconsequence of Luttinger Liquid theory with charge-spin separation, anddetermines the exponent of the singularity at the Fermi surface to be $\sim.15\pm .05$.

Infrared conductivity of cuprate metals: Detailed fit using Luttinger-liquid theory