Abstract
We investigate high-energy scattering in spontaneously broken Yang-Mills gauge theory in $2+1$ space-time dimensions and present the exact solution of the leading $\mathrm{ln}s$ 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 (nonperturbative) 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 Li and Tan for the massless case is discussed.
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