New results for exactly solvable critical RSOS models and vertex models in two dimensions

Abstract

A method for analytically calculating critical properties of two-dimensional exactly solvable models is presented. It is based on the calculation of finite-size corrections of the critical system and on predictions by conformal field theory. It is applied to the restricted solid-on-solid models found by Andrews, Baxter and Forrester. The analysis of the eigenvalues of the finite-size transfer matrices is performed using special functional equations of inversion identity type. The results are given in terms of Rogers dilogarithms. An outlook is given on related problems, e.g. the application to vertex models and the calculation of free energy and correlation lengths of integrable quantum chains at finite temperature.