W. F. Wreszinski, L. A. Manzoni, O. Bolina Existence of the Bogoliubov S(g) Operator for the (:\phi^4:)_2 Quantum Field Theory (47K, Revtex) ABSTRACT. We prove the existence of the Bogoliubov S(g) operator for the (:\phi^4:)_2 quantum field theory. The construction is nonperturbative and relies on a theorem of Kisy\'nski. It implies almost automatically the properties of unitarity and causality for disjoint supports in the time variable.