Multiparticle veneziano models

Abstract

We describe the construction of the Veneziano model for strong interaction scattering amplitudes and its generalisation to multi-particle production processes, and examine some of its properties. In chapter one we introduce the ideas which form the input to the Veneziano model. In chapter two we study how they may all be simultaneously realised in a compact form and how we may extend the model to incorporate multiparticle production processes. We also indicate in this chapter how the model may be used in experimental applications, and what difficulties the simple model faces. In chapter three we examine how we may incorporate all the terms of the complete Veneziano expression into one term, provided certain trajectory constraints are satisfied. In chapter four we study an alternative five-point amplitude having a different structure to the conventional tree graph. In chapter five we extend this amplitude to the case with an arbitrary number of external lines.