REGGEIZATION OF THE AMPLITUDE OF GLUON-GLUON SCATTERING

In the two-loop approximation, the s-channel discontinuity of the ampl itude of elastic gluon-gluon scattering with gluon quantum numbers and negative signature in the t-channel is calculated in the Regge kinema tical region. Under the assumption that the asymptotic behavior of the amplitude in the Regge region is determined by the contribution of th e reggeized gluon, the resulting discontinuity is used to calculate th e gluon trajectory in the two-loop approximation. Agreement of the res ult with the two-loop correction to the trajectory as calculated from the amplitude of quark-quark scattering confirms gluon reggeization be yond the leading logarithmic approximation.