Critical scaling at zero virtuality in QCD

We show that at the critical point of chiral random matrix models, novel sc aling laws for the inverse moments of the eigenvalues are expected, We eval uate explicitly the pertinent microscopic spectral density, and find it in agreement with numerical calculations. We suggest that similar sum rules ar e of relevance to QCD at the critical temperature, and even above if the tr ansition is amenable to a Ginzburg-Landau description. (C) 1999 Elsevier Sc ience B.V. All rights reserved.