The complex langevin equation and Monte Carlo simulations of actions with static charges

J. Ambjørn, M. Flensburg, C. Peterson

    Research output: Contribution to journalArticlepeer-review

    Abstract

    We explore the possibilities of using the complex Langevin equation to Monte Carlo generate configurations of gauge theories with static charges present in the action. Successful results are obtained for systems that possess nontrivial saddle-point (classical) solutions. For that reason the algorithm works impressively for two-dimensional U(1) in the entire β-range whereas for three- and four-dimensional U(1) the applicability is limited to the weak coupling regime (large β). The method fails completely for SU(2) and SU(3).

    Original languageEnglish
    Pages (from-to)375-397
    Number of pages23
    JournalNuclear Physics, Section B
    Volume275
    Issue number3
    DOIs
    Publication statusPublished - 1986 Nov 24

    Subject classification (UKÄ)

    • Mathematical Analysis

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