Multiperipheral Nonfactorization, Signature, and Toller-Angle-Variable Cuts

Abstract

It is shown that the assumption of a multi-Froissart-Gribov definition of signature for multiparticle amplitudes coupled with the existence of discontinuities of internal Regge-residue coupling functions in Toller-angle variables in general gives rise to a nonfactorizable expression for the asymptotic behavior of the full amplitude, even when the signatured amplitudes factorize. Factorizability occurs only in certain exceptional cases, including strict exchange degeneracy. The formalism can be cast into a two-vector form, however, which does factorize in a matrix sense. Chew-Goldberger-Low-type equations thus become 2×2 matrix equations in general. Multi-Froissart-Gribov formalism problems involving analyticity and unitarity of multiparticle amplitudes are ignored.