2007/02/02 by Hidenori Fukaya, JLQCD collaboration, H. Fukaya +14 · 1 citation
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-lat
paper · pdf · doi:10.1103/physrevlett.98.172001
published as Phys.Rev.Lett.98:172001,2007 · 10pages, 4figures
arxiv created 2007/02/02 · openalex publication_date 2007/04/24 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We perform lattice simulations of two-flavor QCD using Neuberger's overlap fermion, with which the exact chiral symmetry is realized at finite lattice spacings. The ϵ regime is reached by decreasing the light quark mass down to 3 MeV on a 163\ifmmode×\else\texttimes\fi32 lattice with a lattice spacing \ensuremath∼0.11 fm. We find a good agreement of the low-lying Dirac eigenvalue spectrum with the analytical predictions of the chiral random matrix theory, which reduces to the chiral perturbation theory in the ϵ regime. The chiral condensate is extracted as \ensuremathΣ^MS(2 GeV)=(251\ifmmode±\else\textpm\fi7\ifmmode±\else\textpm\fi11 MeV)3, where the errors are statistical and an estimate of the higher order effects in the ϵ expansion.