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Stability of lattice QCD simulations and the thermodynamic limit
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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 $a/\sqrt{V}$. In particular, numerical simulations are safe from accidental zero modes in the large-volume regime of QCD.
Forward citations
Cited by 1 Pith paper
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Dirac mode localization in QCD near the crossover temperature
Low-lying Dirac modes in QCD localize at Tloc ≈ 155–158 MeV, the same temperature range as the chiral crossover.
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