%0 Journal Article
%T The BFKL Pomeron in 2+1 Dimensional QCD
%A D. Yu. Ivanov
%A R. Kirschner
%A E. M. Levin
%A L. N. Lipatov
%A L. Szymanowski
%A M. W¨¹sthoff
%J Physics
%D 1998
%I arXiv
%R 10.1103/PhysRevD.58.074010
%X We investigate the high-energy scattering in the spontaneously broken Yang - Mills gauge theory in 2+1 space--time dimensions and present the exact solution of the leading $\ln s$ BFKL equation. The solution is constructed in terms of special functions using the earlier results of two of us (L.N.L. and L.S.). The analytic properties of the $t$-channel partial wave as functions of the angular momentum and momentum transfer have been studied. We find in the angular momentum plane: (i) a Regge pole whose trajectory has an intercept larger than 1 and (ii) a fixed cut with the rightmost singularity located at $j=1$. The massive Yang - Mills theory can be considered as a theoretical model for the (non-perturbative) Pomeron. We study the main structure and property of the solution including the Pomeron trajectory at momentum transfer different from zero. The relation to the results of M. Li and C-I. Tan for the massless case is discussed.
%U http://arxiv.org/abs/hep-ph/9804443v1