Interaction of Two Reggeized Gluons: 2nd Order Corrections and the Bootstrap

Our aim is to show how the reggeization of the gluon, encoded in the bootstrap property of the BFKL kernel, permits to calculate the interaction kernel in the octet colour channel in the forward and non forward direction, for the quark contribution, starting from the known gluon trajectory up to 2nd order. To this end an ansatz to solve the bootstrap equation is used. The obtained result, for what regard the quark contribution, has been verified by direct Feynman diagram calculations.Comment: 6 pages, Talk at Internatinal Conference on Elastic and Diffractive Scattering (VIIIth EDS Blois Workshop), Protvino, Russia, June 28 - July 2, 199

Odderon in QCD

A review on how the Odderon idea does appear in QCD is given. In the last years it has been developed a non-perturbative QCD approach based on the stochastic vacuum model and a perturbative one based on resummation techniques in the small x QCD region. Last developments on the perturbative analysis are shown in some details, in particular in application to diffractive eta_c production.Comment: 6 pages, 1 eps figure, Talk at the 9th International Workshop on Deep Inelastic Scattering and QCD (DIS2001), Bologna, Italy, Apr. 27 - May 1, 200

Generalized Bootstrap Equations and possible implications for the NLO Odderon

We formulate and discuss generalized bootstrap equations in nonabelian gauge theories. They are shown to hold in the leading logarithmic approximation. Since their validity is related to the self-consistency of the Steinmann relations for inelastic production amplitudes they can be expected to be valid also in NLO. Specializing to the N=4 SYM, we show that the validity in NLO of these generalized bootstrap equations allows to find the NLO Odderon solution with intercept exactly at one, a result which is valid also for the planar limit of QCD.Comment: 20 pages, latex, 11 figures, Comments added, To appear on EPJ