Numerical tests of CFT conjectures for 3D spin systems

Wolfhard Janke, Martin Weigel

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1 Citation (Scopus)

Abstract

One kind of predictions of conformal field theory for two-dimensional systems are universal relations between scaling amplitudes and scaling dimensions on infinite length cylinders. We discuss different possible generalizations of such laws to three-dimensional geometries. Using cluster update Monte Carlo simulations we investigate the finite-size scaling of the correlation lengths of several three-dimensional classical O(n) spin models. We find that, choosing appropriate geometries or boundary conditions, the two-dimensional situation can be restored.
Original languageEnglish
Pages (from-to)382–387
JournalComputer Physics Communications
Volume147
Issue number1-2
DOIs
Publication statusPublished - 2002

Bibliographical note

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Keywords

  • Conformal field theory
  • O(n) spin models
  • Monte Carlo simulations
  • Finite-size scaling
  • Correlation lengths

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