@article{9f8bf65b34284e60956839713c36b95f, title = "Stability of lattice QCD simulations and the thermodynamic limit", abstract = "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.", keywords = "hep-lat, Lattice Gauge Field Theories, Lattice QCD", author = "{Del Debbio}, L. and L. Giusti and M. L{\"u}scher and R. Petronzio and N. Tantalo", note = "Plain TeX source, 23 pages, 8 figures", year = "2005", month = "12", day = "15", doi = "10.1088/1126-6708/2006/02/011", language = "English", volume = "2006", journal = "Journal of High Energy Physics", issn = "1029-8479", publisher = "Springer-Verlag", number = "02", }