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Stability of lattice QCD simulations and the thermodynamic limit

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Original languageEnglish
Number of pages19
JournalJournal of High Energy Physics
Issue number02
Publication statusPublished - 15 Dec 2005


We study the spectral gap of the Wilson--Dirac operator in two-flavour lattice QCD as a function of the lattice spacing $a$, the space-time volume $V$ and the current-quark mass $m$. It turns out that the median of the probability distribution of the gap scales proportionally to $m$ and that its width is practically equal to $a/\sqrt{V}$. In particular, numerical simulations are safe from accidental zero modes in the large-volume regime of QCD.

    Research areas

  • hep-lat, Lattice Gauge Field Theories, Lattice QCD

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