Evolution of structure functions in a chiral potential model

Abstract

Evolution of structure functions is studied in a chiral potential model which incorporates the pion as the chiral symmetry restoring field. Evolution equations for the quark and pion densities are derived in the lowest order at large $Q^2$. The splitting function for quark emission from point-like pion is flavor-dependent. This is shown to lead to nontrivial evolution of the nonsinglet moments in the next order which is consistent with the observed departure from the Gottfried sum rule.