Determination of the crumpling fractal dimension via k-space MCRG

Motivated by the successful application of MCRG in momentum space to λ 3 4 , we determine the critical exponents at the crumpling transition in fixed triangulation surfaces. The results are still tentative, but suggest that −1.0 ≥ η ≥ −1.3, pointing at a value for the fractal Hausdorff dimension at the crumpling transition fixed point somewhere between 3 and 4.