Finite-size corrections in theXXZmodel and the Hubbard model with boundary fields

Abstract
The XXZ model and the Hubbard model with boundary fields are discussed. Using the exact solutions of the present models, the finite-size corrections of the ground-state energy and the low-lying excitation energies are calculated. The partition functions are also evaluated in the scaling limit. Through this calculation, the conformal weights of the primary fields in the present model are obtained.