Two-dimensional O(3) σ-model up to correlation length 105

Sergio Caracciolo, Robert G. Edwards, Andrea Pelissetto, Alan D. Sokal

    Research output: Contribution to journalArticle

    Abstract

    We carry out a high-precision Monte Carlo simulation of the two-dimensional O(3)-invariant σ-model at correlation lengths ξ up to ∼ 105. Our work employs a new and powerful method for extrapolating finite-volume Monte Carlo data to infinite volume, based on finite-size-scaling theory. We compare the extrapolated data to the renormalization-group predictions. The deviation from asymptotic scaling, which is ≈ 25% at ξ ∼ 102, decreases to ≈ 4% at ξ ∼ 105.

    Original languageEnglish (US)
    Pages (from-to)752-754
    Number of pages3
    JournalNuclear Physics B (Proceedings Supplements)
    Volume42
    Issue number1-3
    DOIs
    StatePublished - Apr 1995

    ASJC Scopus subject areas

    • Atomic and Molecular Physics, and Optics
    • Nuclear and High Energy Physics

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