1999/03/10 by Jochen Heitger
Physics and Astronomy · #Diffraction #Exponential decay #Extrapolation #Hadron #High-Energy Particle Collisions Research #Lattice (music) #Lattice QCD #Lattice constant #Meson #Nuclear physics #Observable #Particle physics #Particle physics theoretical and experimental studies #Physics #Pion #Pseudoscalar #Pseudoscalar meson #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Quark #Quenched approximation #Scaling #hep-lat
paper · pdf · doi:10.1016/s0550-3213(99)00354-5
published as Nucl.Phys. B557 (1999) 309-326 · 20 pages, latex2e, 6 Postscript figures, uses packages epsfig and amssymb
arxiv created 1999/03/10 · openalex publication_date 1999/09/01 · arxiv updated 2015/06/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We present a scaling investigation of some correlation functions in \Or(a) improved quenched lattice QCD. In particular, as one observable the renormalized PCAC quark mass is considered. Others are constructed such that they become the vector meson mass and the pseudoscalar meson decay constant when the volume is large. For the present discussion we remain in intermediate volume, (0.753×1.5) fm4 with Schrödinger functional boundary conditions. By fixing the `pion mass' and the spatial lattice size in units of the hadronic scale r0, we simulated four lattices with resolutions ranging from 0.1 fm to 0.05 fm and performed the extrapolation to the continuum limit. The maximal scaling violation found in the improved theory is a ∼ 6 % effect at a≃ 0.1 fm.