Regge Trajectories versus Vanishing Renormalization Constants as Dynamical Criteria

The connection between continuous Regge trajectories and the vanishing of renormalization constants is explored. It is found that if, in a field theory $Z_1\to 0$ and $Z_3\to 0$ in such a way that $\frac{Z_1}{Z_3\to 0}$, then a Regge trajectory moves smoothly under an elementary particle pole so that the particle becomes dynamical in the Regge sense. Thus a bootstrapped world may perhaps equally well be defined by its satisfying a field theory with all renormalization constants set equal to zero, as by saying that all particles lie on Regge trajectories.