## Stability of lattice QCD simulations and the thermodynamic limit

Research output: Contribution to journalArticle

### Documents

http://iopscience.iop.org/1126-6708/2006/02/011/
Original language English 19 Journal of High Energy Physics 2006 02 https://doi.org/10.1088/1126-6708/2006/02/011 Published - 15 Dec 2005

### 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.

### Research areas

• hep-lat, Lattice Gauge Field Theories, Lattice QCD