Feynman-Diagram Models of Regge and Multi-Regge Couplings

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Abstract
Some Feynman-diagram models are presented which lead to a natural framework for discussions of the kinematic properties of Regge poles. The models do not require an infinite number of recurrences of a trajectory. The basic property of the Feynman prescriptions that is useful here is the fact that the analyticity properties of the amplitude are preserved at all stages of the calculation. The coupling of particles with integer spin to Regge trajectories is discussed in detail. These models allow one to consider various aspects of ghose-killing mechanisms and to clarify the kinematic properties, especially the kinematic singularities, of Regge residues. The extension of the discussion to the coupling of two Regge trajectories to a physical particle is carried out and applied to the multiple-Regge model of production amplitudes. Some experimental consequences of these models are briefly explored for particle production.