Abstract

We apply the Monte Carlo Renormalization group to the crumpling transition in random surface models of fixed connectivity. This transition is notoriously difficult to treat numerically. We employ here a Fourier accelerated Langevin algorithm in conjunction with a novel blocking procedure in momentum space which has proven extremely successful in λφ 4. We perform two successive renormalizations in lattices with up to 64 2 sites. We obtain a result for the critical exponent ν in general agreement with previous estimates and similar error bars, but with much less computational effort. We also measure with great accuracy η. As a by-product we are able to determine the fractal dimension d H of random surfaces at the crumpling transition.

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