2005/01/01 by A. W. Thomas, J. D. Ashley, Jonathan D. Ashley +3 · 5 citations
Physics and Astronomy · #Condensed matter physics #Finite volume method #Hadron #High-Energy Particle Collisions Research #Lattice (music) #Lattice QCD #Mechanics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Statistical physics #Thermodynamics #Volume (thermodynamics) #hep-lat
paper · pdf · open access · doi:10.1088/1742-6596/9/1/061
published in Journal of Physics Conference Series 9, 321-330 (IOP Publishing) · Invited talk at GHP2004, Fermilab
openalex publication_date 2005/01/01 · arxiv created 2005/02/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Because the time needed for a simulation in lattice QCD varies at a rate exceeding the fourth power of the lattice size, it is important to understand how small one can make a lattice without altering the physics beyond recognition. It is common to use a rule of thumb that the pion mass times the lattice size should be greater than (ideally much greater than) four (i.e., m π L ≫ 4). By considering a relatively simple chiral quark model we are led to suggest that a more realistic constraint would be m π ( L − 2 R ) ≫ 4, where R is the radius of the confinement region, which for these purposes could be taken to be around 0.8–1.0 fm. Within the modelwe demonstrate that violating the second condition can lead to unphysical behaviour of hadronic properties as a function of pion mass. In particular, the axial charge of the nucleon is found to decrease quite rapidly as the chiral limit is approached.