CONFORMAL-INVARIANCE AND THE EXACT SOLUTION OF BFKL EQUATIONS

The conformal invariance properties of the QCD Pomeron in the transver se plane allow us to give an explicit analytical expression for the so lution of the BFKL equations both in the transverse coordinate and mom entum spaces. This result is obtained from the solution of the conform al eigenvectors in the mixed representation in terms of two conformal blacks, each block being the product of a holomorphic times an antihol omorphic function. This property is used to give an exact expression f or the QCD dipole multiplicities and dipole-dipole cross-sections in t he whole parameter space, proving the identity between the BFKL and di pole amplitudes of the QCD Pomeron. (C) 1997 Elsevier Science B.V.