The Yukawa coupling of quantum fields in two dimensions. II

The Yukawa coupling in two dimensional space time is considered. A space outoff is introduced in the interaction termV, so that the renormalized HamiltonianH _ren is a rigorously defined bilinear form in the Fock Hilbert space. The main result is thatH _ren is positive provided the finite part of the renormalization terms are suitably chosen. As a consequence, the Schrödinger equation (i/t–H _ren)=0 can be solved.This work was supported in part by the National Science Foundation, GP — 6165.