FINITE-SIZE CORRECTIONS AND SCALING DIMENSIONS OF SOLVABLE LATTICE MODELS - AN ANALYTIC METHOD

A general analytic method for calculating finite-size corrections, central charges, and scaling dimensions of solvable lattice models is presented. The approach is to solve the special functional equations or inversion identities satisfied by the commuting row transfer matrices of these lattice models at criticality. For purposes of illustration, the method is applied to calculate the central charge c = 4/5 and leading magnetic scaling dimension x = 2/15 of hard hexagons. These numbers are rational due to special values of Rogers dilogarithms.