MCRG study of fixed-connectivity surfaces

被引：12

作者：

Espriu, D ^{[1
]}

Travesset, A ^{[1
]}

机构：

[1] INST FIS ALTES ENERGIES, E-08028 BARCELONA, SPAIN

来源：

NUCLEAR PHYSICS B | 1996年 / 468卷 / 03期

关键词：

Monte Carlo renormalization group; random surfaces; crumpling transition;

D O I：

10.1016/0550-3213(96)00154-X

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

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 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.

引用

页码：514 / 540

页数：27

共 38 条

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