Analyticity properties and many-particle structure in general quantum field theory. Pt. 2

The extraction of one-particle singularities from the n-point functions is performed in the framework of L.S.Z. field theory in the case of a single massive scalar field. It is proved that the 'one-particle irreducible' functions thus obtained enjoy the analytic and algebraic primitive structure of general n-point functions (up to a finite number of generalized C.D.D. singularities). Finally under an additional technical assumption, it is shown that the Glaser-Lehmann-Zimmermann relations stating the completeness of asymptotic states yield similar relations satisfied in any given channel by the corresponding one-particle irreducible functions. (orig.)