Scaling Properties of the Ising Model in a Field

The dilute A 3 model is a solvable IRF (interaction-round-a-face) model with three local states and adjacency conditions encoded by the Dynkin diagram of the Lie algebra A 3. It can be regarded as a solvable version of a critical Ising model in a magnetic eld. One therefore expects the scaling limit to be governed by Zamolod-chikov's integrable perturbation of the c = 1=2 conformal eld theory. We perform a detailed numerical investigation of the solutions of the Bethe ansatz equation for the oo-critical model. Our results agree perfectly with the predicted values for the lowest masses of the stable particles and support the assumptions on the nature of the Bethe ansatz solutions which enter crucially in a recent thermodynamic Bethe ansatz calculation of the factorized scattering matrix.