Stability of lattice QCD simulations and the thermodynamic limit

Details Stability of lattice QCD simulations and the thermodynamic limit Stability of lattice QCD simulations and the thermodynamic limit

2005-12-15

arxiv.org/abs/hep-lat/0512021v1

JHEP 0602 (2006) 011

Physics

High Energy Physics

High Energy Physics - Lattice

Plain TeX source, 23 pages, 8 figures

Scientific paper

10.1088/1126-6708/2006/02/011

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.

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