Comparison between theoretical four-loop predictions and Monte Carlo calculations in the two-dimensional N-vector model for N = 3, 4, 8

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

    Research output: Contribution to journalArticlepeer-review

    Abstract

    We have computed the four-loop contribution to the beta-function and to the anomalous dimension of the field for the two-dimensional lattice N-vector model. This allows the determination of the second perturbative correction to various long-distance quantities like the correlation lengths and the susceptibilities. We compare these predictions with new Monte Carlo data for N = 3, 4, 8. From these data we also extract the values of various universal nonperturbative constants, which we compare with the predictions of the 1/N expansion.

    Original languageEnglish (US)
    Pages (from-to)763-766
    Number of pages4
    JournalNuclear Physics B - Proceedings Supplements
    Volume47
    Issue number1-3
    DOIs
    StatePublished - Mar 1996

    ASJC Scopus subject areas

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

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