Numerical extension of CFT amplitude universality to three-dimensional systems

Martin Weigel, Wolfhard Janke

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

Conformal field theory (CFT) predicts universal relations between scaling amplitudes and scaling dimensions for two-dimensional systems on infinite length cylinders, which hold true even independent of the model under consideration. We discuss different possible generalizations of such laws to three-dimensional geometries. Using a cluster update Monte Carlo algorithm we investigate the finite-size scaling (FSS) of the correlation lengths of several representatives of the class of three-dimensional classical O(n) spin models. We find that, choosing appropriate boundary conditions, the two-dimensional situation can be restored.
Original languageEnglish
Pages (from-to)287–294
JournalPhysica A: Statistical Mechanics and its Applications
Volume281
Issue number1-4
DOIs
Publication statusPublished - 15 Jun 2000

Fingerprint

Conformal Field Theory
Universality
Scaling
scaling
Three-dimensional
Monte Carlo Algorithm
Spin Models
Two-dimensional Systems
Finite-size Scaling
Correlation Length
Update
Boundary conditions
Predict
boundary conditions
geometry
Model
Generalization
Class

Bibliographical note

The full text is not available on the repository.

Keywords

  • Spin models
  • Finite-size scaling
  • Universal amplitudes
  • Conformal field theory

Cite this

Numerical extension of CFT amplitude universality to three-dimensional systems. / Weigel, Martin; Janke, Wolfhard.

In: Physica A: Statistical Mechanics and its Applications, Vol. 281, No. 1-4, 15.06.2000, p. 287–294.

Research output: Contribution to journalArticle

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