Stability of lattice QCD simulations and the thermodynamic limit

L. Del Debbio, L. Giusti, M. Lüscher, R. Petronzio, N. Tantalo

Research output: Contribution to journalArticlepeer-review

Abstract / Description of output

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.
Original languageEnglish
Number of pages19
JournalJournal of High Energy Physics
Volume2006
Issue number02
DOIs
Publication statusPublished - 15 Dec 2005

Keywords / Materials (for Non-textual outputs)

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

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