  We report on a high statistics numerical study of the crystalline random
surface model with extrinsic curvature on lattices of up to $64^2$ points. The
critical exponents at the crumpling transition are determined by a number of
methods all of which are shown to agree within estimated errors. The
correlation length exponent is found to be $\nu=0.71(5)$ from the
tangent-tangent correlation function whereas we find $\nu=0.73(6)$ by assuming
finite size scaling of the specific heat peak and hyperscaling. These results
imply a specific heat exponent $\alpha=0.58(10)$; this is a good fit to the
specific heat on a $64^2$ lattice with a $\chi^2$ per degree of freedom of 1.7
although the best direct fit to the specific heat data yields a much lower
value of $\alpha$. Our measurements of the normal-normal correlation functions
suggest that the model in the crumpled phase is described by an effective field
theory which deviates from a free field theory only by super-renormalizable
interactions.

High Energy Physics - Lattice