Asymptotic scaling in the two-dimensional SU(3) σ model at correlation length 4 × 105

Gustavo Mana, Andrea Pelissetto, Alan D. Sokal

    Research output: Contribution to journalArticle

    Abstract

    We carry out a high-precision simulation of the two-dimensional SU(3) principal chiral model at correlation lengths ξ up to ≈ «4×105, using a multigrid Monte Carlo (MGMC) algorithm. We extrapolate the finite-volume Monte Carlo data to infinite volume using finite-size-scaling theory, and we discuss carefully the systematic and statistical errors in this extrapolation. We then compare the extrapolated data to the renormalization-group predictions. For ξ≥103 we observe good asymptotic scaling in the bare coupling; at ξ≈4×105 the nonperturbative constant is within 2-3% of its predicted limiting value.

    Original languageEnglish (US)
    JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
    Volume54
    Issue number2
    StatePublished - Jul 15 1996

    Fingerprint

    Correlation Length
    Scaling
    scaling
    Scaling Theory
    Extrapolate
    Monte Carlo Algorithm
    Finite-size Scaling
    Extrapolation
    Finite Volume
    systematic errors
    Renormalization Group
    extrapolation
    Limiting
    Prediction
    predictions
    Model
    Simulation
    simulation

    ASJC Scopus subject areas

    • Mathematical Physics
    • Physics and Astronomy(all)
    • Nuclear and High Energy Physics
    • Physics and Astronomy (miscellaneous)

    Cite this

    Asymptotic scaling in the two-dimensional SU(3) σ model at correlation length 4 × 105 . / Mana, Gustavo; Pelissetto, Andrea; Sokal, Alan D.

    In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 54, No. 2, 15.07.1996.

    Research output: Contribution to journalArticle

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