Asymptotic scaling in the two-dimensional SU(3) [Formula presented] model at correlation length 4 × [Formula presented]

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 [Formula presented] up to ≈4 × [Formula presented], 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 [Formula presented] we observe good asymptotic scaling in the bare coupling; at [Formula presented] the nonperturbative constant is within 2-3% of its predicted limiting value.

    Original languageEnglish (US)
    Pages (from-to)R1252-R1255
    JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
    Volume54
    Issue number2
    DOIs
    StatePublished - Jan 1 1996

    ASJC Scopus subject areas

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

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