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Monte Carlo simulations of conformal theory predictions for the three-state Potts model

1995/10/27 by G. T. Barkema, Gerard Barkema, John McCabe · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Conformal field theory #Conformal map #Coulomb #Formalism (music) #Monte Carlo method #Monte Carlo method in statistical physics #Monte Carlo molecular modeling #Physics of Superconductivity and Magnetism #Potts model #Theoretical and Computational Physics #hep-lat

paper · pdf · doi:10.1007/bf02174128

11 pages, 6 Postscript figures, uses Revtex

arxiv created 1995/10/27 · openalex publication_date 1996/09/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The critical properties of the 2D Ising and 3-state Potts models are investigated using Monte Carlo simulations. Special interest is given to measurement of 3-point correlation functions and associated universal objects, i.e. structure constants. The results agree well with predictions coming from conformal field theory confirming, for these examples, the correctness of the Coulomb gas formalism and the bootstrap method.

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