Regge Poles in Field Theories and Elementarity

It is known that in the field theory description of the Compton scattering of nucleons by vector mesons the nucleon lies on a Regge trajectory. In this work it is found that the vector meson channel of the same theory exhibits no such Regge-like behavior. However, in electron-graviton scattering the spinor particle is again Reggeized. The various problems that arise when zero mass mesons are used in the scattering are discussed and it is shown that the Reggeization generally proceeds as in the massive case. A field theory of massive gravitons is discussed. The dynamical criterion of vanishing renormalization constants is applied to Reggeized particles and it is shown that this criterion successfully distinguishes an elementary Reggeized particle from a true dynamical state. This provides a dynamical test which can replace the postulate that a "bootstrapped" theory is characterized by the absence of Kronecker delta terms in all channels. We may thus recover the one-to-one correspondence between dynamical particles and certain moving poles in the partial wave amplitudes. Appendices B and C review the generation of Regge trajectories by iteration through unitarity and Mandelstam's treatment of Reggeization using the N/D equations.