2005/07/20 by Jan Wennekers, Hartmut Wittig · 1 citation
Physics and Astronomy · #Fermion #High-Energy Particle Collisions Research #Lattice (music) #Lattice QCD #Lattice constant #Mathematical physics #Particle physics #Particle physics theoretical and experimental studies #Physics #Pseudoscalar #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Quantum mechanics #Quark #Quenched approximation #Renormalization #Scalar (mathematics) #Scaling #Sigma #hep-lat #hep-ph
paper · pdf · doi:10.1088/1126-6708/2005/09/059
published as JHEP 0509 (2005) 059 · 15 pages, 7 figures
arxiv created 2005/07/20 · openalex publication_date 2005/09/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We present a non-perturbative determination of the renormalization factor ZS of the scalar density in quenched QCD with overlap fermions. Results are obtained at four values of the lattice spacing. By combining ZS with results for the low-energy constant Sigma we are able to compute the renormalization group invariant scalar condensate in the continuum limit with a total accuracy of 7%, excluding dynamical quark effects. Our result translates to Sigmamsbar(2 GeV)=(285+/-9 MeV)3 if the scale is set by the kaon decay constant. We have also performed scaling studies of the pseudoscalar decay constant and the vector mass. Our results indicate that quantities computed using overlap quarks exhibit excellent scaling behaviour, with small residual lattice artifacts.