  We obtain nonperturbative results on the sine-Gordon model using the lattice
field technique. In particular, we employ the Fourier accelerated hybrid Monte
Carlo algorithm for our studies. We find the critical temperature of the theory
based on autocorrelation time, as well as the finite size scaling of the
"thickness" observable used in an earlier lattice study by Hasenbusch et al. We
study the entropy, which is smooth across all temperatures, supportive of an
infinite order transition. This system has a well-known duality with the
massive Thirring model, which can play the role of a toy models for
Montonen-Olive duality in N=4 super-Yang-Mills theory, since it relates
solitons to elementary field excitations. Our research lays a groundwork for
such study on the lattice.
