Construction of Green's functions from an exactSmatrix

The bootstrap program for determining Green's functions from an exact $S$ matrix is carried out for the simplest soliton field theory of a scalar field with $S$-matrix operator $S={\mathrm{}(-1\mathrm{})\mathrm{}}^{\frac{N(N-1\mathrm{})\mathrm{}}{2}}$, where $N$ is the total number operator. Despite the formal simplicity of the $S$ matrix, the Green's functions derived have a rich structure. The results can be checked since this field theory is none other than that of the order variable of the Ising model in the scaling limit above the critical temperature.