Stability of lattice QCD simulations and the thermodynamic limit
L. Del Debbio, L. Giusti, M. Lüscher, R. Petronzio, N. Tantalo
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/V. In particular, numerical simulations are safe from accidental zero modes in the large-volume regime of QCD.
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