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arXiv · hep-lat/9601005

M.C.R.G. Study of Fixed-connectivity Surfaces

D. Espriu·A. Travesset
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Abstract

We apply 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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D. Espriu, A. Travesset. 1996-01-12. M.C.R.G. Study of Fixed-connectivity Surfaces. https://doi.org/10.1016/0550-3213(96)00154-x

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