Check of the Bootstrap Conditions for the Gluon Reggeization

Abstract

The property of gluon Reggeization plays an essential role in the derivation of the Balitsky-Fadin-Kuraev-Lipatov (BFKL) equation for the cross sections at high energy $\sqrt{s}$ in perturbative QCD. This property has been proved to all orders of perturbation theory in the leading logarithmic approximation and it is assumed to be valid also in the next-to-leading logarithmic approximation, where it has been checked only to the first three orders of perturbation theory. From $s$-channel unitarity, however, very stringent ``bootstrap'' conditions can be derived which, if fulfilled, leave no doubts that gluon Reggeization holds.

Comments: Talk given at the Crimean Summer School - Seminar, "New Trends in High Energy Physics", Miskhor (Yalta), May 27 - June 4, 2000 (to be published in the proceedings); 5 pages, uses axodraw.sty