We compute, in the (1+1)-dimensional $\lambda {\Phi }^4$ model on the lattice, the soliton mass by means of two very different numerical methods. First, we make use of a "creation operator" formalism, measuring the decay of a certain correlation function. Second, we measure the shift of the vacuum energy between the symmetric and the antiperiodic systems. The obtained results are fully compatible. We compute the continuum limit of the mass from the perturbative renormalization group equations. Special attention is paid to ensure that we are working in the scaling region, where physical quantities remain unchanged along any renormalization group trajectory. We compare the continuum value of the soliton mass with its perturbative value up to one-loop calculation. Both quantities show a quite satisfactory agreement. The first is slightly bigger than the perturbative one; this may be due to the contributions of higher-order corrections.

• Received 22 March 1993

DOI:https://doi.org/10.1103/PhysRevD.49.1020