Dual Resonance Theory with Nonlinear Trajectories

A dual resonance model with nonlinear trajectories which includes the Veneziano model as a limiting case is discussed. Rules are given for constructing the $N$-point function in such a model, and an explicit expression for the $N$-point planar tree graph is derived. A conjectured rule for loop diagrams is also presented. Representations of four-point-function satellite terms which admit straightforward generalization to the $N$-point function are derived.