Unitarity and On-Mass-Shell Analyticity as a Basis for S-Matrix Theories. III

Abstract

The singularity structure of many‐particle scattering amplitudes in momentum transfer variables is investigated in terms of the many‐particle unitarity conditions. Cauchy‐type kernels for analytic functions defined on complex rotation group in three dimensions are constructed and related to a theory of local representations of the rotation group, corresponding to complex angular momenta.