Stability of lattice QCD simulations and the thermodynamic limit
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/V1/2. In particular, numerical simulations are safe from accidental zero modes in the large-volume regime of QCD.
- Publication:
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Journal of High Energy Physics
- Pub Date:
- February 2006
- DOI:
- 10.1088/1126-6708/2006/02/011
- arXiv:
- arXiv:hep-lat/0512021
- Bibcode:
- 2006JHEP...02..011D
- Keywords:
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- High Energy Physics - Lattice
- E-Print:
- Plain TeX source, 23 pages, 8 figures