Hadronic Wave Functions at Short Distances and the Operator

The operator product expansion, of appropriate products of quark fields, is used to find the anomalous dimensions which control the short distance behavior of hadronic wave functions. This behavior in turn controls the high Q2 limit of hadronic form factors. In particular, we relate each anomalous dimension of the non-singlet structure functions to a corresponding logarithmic correction factor to the nominal as(Q2)/Q2 fall off of meson form factors. Unlike the case of deep inelastic lepton-hadron scattering, the operator product necessary here involves extra terms which do not contribute to forward matrix elements. To be Published in Physics Letters t Work supported by the Department of Energy, contract DE-AC03-76SF00515. * On sabbatical leave from the Physics Department, Weizmann Institute of Science, Rehovot, Israel. Address after September 1, 1979. J;fc Work supported in part by the National Science Foundation. J;JcJc Address after October 1, 1979, Physics Department, University of Southampton, Southampton SO9 5NE-l, U.K.