Unitarity corrections to the Lipatov Pomeron and the four-gluon operator in deep inelastic scattering in QCD

Starting from a four-gluon partial-wave amplitude which provides the first unitarity corrections to the Lipatov Pomeron we study the deep inelastic limit. We find mixing between the four-gluon operator and a twistfour piece of the two-gluon operator. We calculate the diagonal elements of the matrix of the anomalous dimensions and the coefficient function of the singular part (nearn=1) of the four-gluon operator. Several disagreements between our results and the Gribov-Levin-Ryskin evolution equation are found.