FINITE-SIZE CORRECTIONS IN THE XY MODEL WITH A UNIFORM MAGNETIC-FIELDAND A BOUNDARY FIELD

The one-dimensional XY model with a uniform magnetic field and a bound ary held is introduced. The present model is solved analytically at it s critical point. Using the present analytical result, the finite-size corrections of the ground-state energy and the low-lying excited ener gies are evaluated. The partition function of the present model is als o evaluated in the scaling limit. Through this calculation, the centra l charge and the conformal weights of the primary fields in the presen t model are obtained analytically.