Multiperipheral Dynamics at General Momentum Transfer

We extend the group-theoretical analysis of the multiperipheral integral equation of Chew, Goldberger, and Low to general momentum transfers. Using a set of variables for the multiparticle phase space analogous to those of Bali, Chew, and Pignotti, we obtain, through the $O(2, 1)$ symmetry, a partial diagonalization of the equation, without requiring asymptotic approximations to the phase space. As an example, we apply our technique to a multi-Regge model and an Amati-Fubini-Stanghellini-type model.