Universal amplitude ratios in the critical two-dimensional Ising model on a torus

Jesús Salas, Alan D. Sokal

    Research output: Contribution to journalArticle

    Abstract

    Using results from conformal field theory, we compute several universal amplitude ratios for the two-dimensional Ising model at criticality on a symmetric torus. These include the correlation-length ratio x* = limL → y ξ(L)/L and the first four magnetization moment ratios V2n = 〈.//2n〉/〈.//2n. As a corollary we get the first four renormalized 2n-point coupling constants for the massless theory on a symmetric torus. G*2n. We confirm these predictions by a high-precision Monte Carlo simulation.

    Original languageEnglish (US)
    Pages (from-to)551-588
    Number of pages38
    JournalJournal of Statistical Physics
    Volume98
    Issue number3-4
    StatePublished - Feb 2000

    Fingerprint

    Ising model
    Ising Model
    Torus
    moments
    magnetization
    predictions
    simulation
    Conformal Field Theory
    Correlation Length
    Criticality
    Magnetization
    Corollary
    Monte Carlo Simulation
    Moment
    Prediction

    Keywords

    • Cluster algorithm
    • Conformal field theory
    • Corrections to scaling
    • Finite-size scaling
    • Ising model
    • Monte Carlo
    • Swendsen Wang algorithm
    • Torus
    • Universal amplitude ratios

    ASJC Scopus subject areas

    • Mathematical Physics
    • Physics and Astronomy(all)
    • Statistical and Nonlinear Physics

    Cite this

    Universal amplitude ratios in the critical two-dimensional Ising model on a torus. / Salas, Jesús; Sokal, Alan D.

    In: Journal of Statistical Physics, Vol. 98, No. 3-4, 02.2000, p. 551-588.

    Research output: Contribution to journalArticle

    Salas, Jesús ; Sokal, Alan D. / Universal amplitude ratios in the critical two-dimensional Ising model on a torus. In: Journal of Statistical Physics. 2000 ; Vol. 98, No. 3-4. pp. 551-588.
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