Simulation of euclidean quantum field theories by a random walk process

Ion Olimpiu Stamatescu, Ulli Wolff, Daniel Zwanziger

    Research output: Contribution to journalArticlepeer-review

    Abstract

    A new Monte Carlo method for euclidean lattice field theory is introduced by writing the Boltzmann distribution e-s as a solution of a diffusion type equation and constructing the associated random walk process. It is practically tested for a quantum mechanical model and a non-compact version of lattice QCD. It is explained where the main interest in this algorithm lies: the diffusion process coming from an action that can be generalized to include non-conservative forces. This possibility is exploited in our QCD version to implement gauge fixing without Faddeev-Popov ghosts.

    Original languageEnglish (US)
    Pages (from-to)377-390
    Number of pages14
    JournalNuclear Physics, Section B
    Volume225
    Issue number3
    DOIs
    StatePublished - Nov 28 1983

    ASJC Scopus subject areas

    • Nuclear and High Energy Physics

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