TY - JOUR
T1 - Stability of lattice QCD simulations and the thermodynamic limit
AU - Del Debbio, L.
AU - Giusti, L.
AU - Lüscher, M.
AU - Petronzio, R.
AU - Tantalo, N.
N1 - Plain TeX source, 23 pages, 8 figures
PY - 2005/12/15
Y1 - 2005/12/15
N2 - 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.
AB - 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.
KW - hep-lat
KW - Lattice Gauge Field Theories
KW - Lattice QCD
U2 - 10.1088/1126-6708/2006/02/011
DO - 10.1088/1126-6708/2006/02/011
M3 - Article
VL - 2006
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
SN - 1029-8479
IS - 02
ER -