Dynamic critical behaviour of Wolff's algorithm for RPN σ-models

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

    Research output: Contribution to journalArticlepeer-review


    We study the performance of a Wolff-type embedding algorithm for RPN σ-models. We find that the algorithm in which we update the embedded Ising model à la Swendsen-Wang has critical slowing-down as zx ≈ 1. If instead we update the Ising spins with a perfect algorithm which at every iteration produces a new independent configuration, we obtain zx ≈ 0. This shows that the Ising embedding encodes well the collective modes of the system, and that the behaviour of the first algorithm is connected to the poor performance of the Swendsen-Wang algorithm in dealing with a frustrated Ising model.

    Original languageEnglish (US)
    Pages (from-to)595-597
    Number of pages3
    JournalNuclear Physics B (Proceedings Supplements)
    Issue numberC
    StatePublished - 1992

    ASJC Scopus subject areas

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


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