2005/12/15 by Luigi Del Debbio, L. Del Debbio, L. Giusti +6 · 1 citation
Physics and Astronomy · #Dirac operator #Distribution function #High-Energy Particle Collisions Research #Lattice (music) #Lattice QCD #Lattice field theory #Mathematical physics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Quantum mechanics #Quark #Spectral gap #hep-lat
paper · pdf · doi:10.1088/1126-6708/2006/02/011
published as JHEP 0602 (2006) 011 · Plain TeX source, 23 pages, 8 figures
arxiv created 2005/12/15 · openalex publication_date 2006/02/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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/√(V). In particular, numerical simulations are safe from accidental zero modes in the large-volume regime of QCD.