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

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

1996-01-11

arxiv.org/abs/hep-lat/9601005v2

Nucl.Phys. B468 (1996) 514-540

Physics

High Energy Physics

High Energy Physics - Lattice

35 pages,Latex file, 6 Postscript figures uuencoded,uses psfig.sty 2 misspelled references corrected and one added. Paper unch

Scientific paper

10.1016/0550-3213(96)00154-X

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 $\lambda\phi^4$. We perform two successive renormalizations in lattices with up to $64^2$ sites. We obtain a result for the critical exponent $\nu$ in general agreement with previous estimates and similar error bars, but with much less computational effort. We also measure with great accuracy $\eta$. 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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