The problem of solving the Bethe-Salpeter equations in LLA for t-channel partial waves corresponding to Feynman diagrams with many reggeized gluons is simplified significantly by using their conformal invariance in the impact parameter representation and the separability property of their integral kernels. In particular, for the three gluon system with the odderon quantum numbers we obtain a one-dimensional integral equation. It is known [1], that in the leading logarithmic approximation (LLA) the gluon production amplitudes at large energies √s have the multi-Regge form and are expressed in terms of the reggeized gluon trajectory j = 1+ ω, ω ∼ g 2 and the Reggeon-Reggeon-particle vertex γ ∼ g, where g is the QCD coupling constant. High order radiative corrections to these quantities and many Reggeon vertices can be calculated using a dispersive approach [2]. The hadron scattering amplitudes in LLA are expressed through the solution of the Bethe-Salpeter equation for t-channel partial waves f ω(k, k′, q) describing the pomeron built from two reggeized gluons [1, 3]. Further, the analogous equation for the three gluon compound state with the odderon quantum numbers (P j = C = −1) is constructed with the use of the integral kernels for pairlike gluon interactions which are proportional to the pomeron kernel [4]. It is convinient to perform the Fourier transform of the function f ω( k i k i ,) depending on transverse components k i , k i , of virtual gluon momenta and to pass to the impact parameter representation f ω( p j , p j (here p j and p j are the transverse coordinates of the initial and final gluons in the t-channel). The Bethe-Salpeter equations in this representation are conformal invariant and their solutions f ω( /gg9 i, ϱ i.) can be interpreted as the Green functions of a two dimensional Euclidean field theory [5].