Abstract
It is shown that quantum hadrodynamics as a formal field theory has a much richer infrared structure at high energies than previously realized. This arises from large vertex corrections due to vector meson exchange. By selectively summing all leading and nonleading logarithms, it is demonstrated that the infrared structure of the theory may in fact overwhelm the corresponding ultraviolet divergences arising from the Landau poles. Since competing infinites can thus be found, caution is urged in the use of any nonperturbative summation, especially one that emphasizes merely one sector of the theory.