RENORMALIZATION-GROUP AND EXACT SOLUBILITY IN ONE-DIMENSION - GENERALIZED SUTHERLAND MODEL

We introduce a generalized Sutherland model: a system of one-dimension al fermions or bosons interacting by a two-body potential which has a short-range interaction of finite range and amplitude, and an inverse- square tail. Using renromalization-group arguments we analyze the grou nd-state and correlation properties of this family of models. We repro duce known exact results as special cases of the general model and poi nt out a correspondence between the exactly solvable problems and spec ial initial or final conditions of the renormalization transformation, which we believe to be a general criterion. This enables us to predic t a series of new presumably exact results.