Multigrid Monte Carlo method. IV. One-dimensional O(4)-symmetric nonlinear σ model

Tereza Mendes, Alan D. Sokal

    Research output: Contribution to journalArticle


    We study the dynamic critical behavior of the multigrid Monte Carlo algorithm with piecewise-constant interpolation and a W cycle, applied to the one-dimensional O(4)-symmetric nonlinear σ model [=SU(2) principal chiral model], on lattices from L=128 to L=16 384. Our data for the integrated autocorrelation time (formula presented) are well fit by a logarithmic growth. We have no idea why the critical slowing-down is not completely eliminated.

    Original languageEnglish (US)
    Pages (from-to)3438-3444
    Number of pages7
    JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
    Issue number6
    StatePublished - Jan 1 1996


    ASJC Scopus subject areas

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

    Cite this