Abstract
Working in four-dimensional quantum chromodynamics, we solve exactly the renormalized gluon ladder at $t=0$. This approximation is obtained by reordering the perturbation expansion of the Bethe-Salpeter kernel using the renormalization group. The resulting amplitude has an accumulation of Regge poles at $j=+1$ in any gauge with gauge-fixing term $\ensuremath{-}{(2\ensuremath{\alpha})}^{\ensuremath{-}1} {(\ensuremath{\partial}\ifmmode\cdot\else\textperiodcentered\fi{}\stackrel{\ensuremath{\rightarrow}}{A})}^{2}$. The existence of this singularity depends only on the short-distance behavior of the forces in the $t$ channel as given by the renormalization group. Further, this singularity couples to hadrons, and is a natural candidate for the bare Pomeron.
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