Regge trajectories versus vanishing renormalization constants as dynamical criteria

Abstract

The connection between continuous Regge trajectories and the vanishing of renormalization constants is explored. It is found that if, in a field theory Z1→0 and Z3→0 in such a way that Z1/Z3→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.