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/root V. In particular, numerical simulations are safe from accidental zero modes in the large-volume regime of QCD.
Del Debbio, L., Giusti, L., Luscher, M., Petronzio, R., Tantalo, N. (2006). Stability of lattice QCD simulations and the thermodynamic limit. JOURNAL OF HIGH ENERGY PHYSICS(2) [10.1088/1126-6708/2006/02/011].
Stability of lattice QCD simulations and the thermodynamic limit
PETRONZIO, ROBERTO;TANTALO, NAZZARIO
2006-01-01
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/root V. In particular, numerical simulations are safe from accidental zero modes in the large-volume regime of QCD.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
