Determination of the Crumpling Fractal Dimension Via k-Space MCRG

Abstract

Motivated by the successful application of MCRG in momentum space to $\lambda {\varphi }_3^4$ we determine the critical exponents at the crumpling transition in fixed triangulated surfaces. The results are still tentative, but suggest that $-1.0\ge \eta \ge -1.3$, pointing at a value for the fractal Hausdorff dimension at the crumpling transistion fixed point somewhere between 3 and 4.

4 pages of LATEX (uses espcrc2.sty) and 1 uuencoded ps figure. (Contribution to Lattice'95)

References in corpus (2)

• On the Crumpling Transition in Crystalline Random Surfaces
• COMBINING MCRG AND FOURIER ACCELERATED LANGEVIN ALGORITHM

Cited by in corpus (1)

• Improved Algorithms for Simulating Crystalline Membranes