Structure functions of the 2d image non-linear sigma models Original Research Article

We investigate structure functions in the 2-dimensional (asymptotically free) non-linear image σ-models using the non-perturbative S-matrix bootstrap program. In particular, the exact small (Bjorken) x behavior is derived. Structure functions in the special case of the image model are accurately computed over the whole x range for image, and some moments are compared with results from renormalized perturbation theory. Some results concerning the structure functions in the image approximation are also presented.