Vector Currents and Current Algebra. II. AnN-Point Beta-Function Model

A simple $N$-point beta-function model (generalized Veneziano model) of the hadron bootstrap is assumed, and the properties of vector currents consistent with it are investigated. We find that this hadron bootstrap admits conserved vector currents satisfying the Gell-Mann current algebra in a first approximation which assumes single vector-meson poles in the form factors and requires factorization only at resonances on leading Regge trajectories. We believe the techniques employed in this simplified model will be useful in constructing current amplitudes in more general dual zero-width models. In addition, a model for a Pomeranchon contribution which does not fall off at large $q^2$ is proposed. Throughout we treat amplitudes for one or two vector currents and an arbitrary number $N$ of spinless hadrons.