Abstract
All lattice QCD simulations performed to date have been done on finite-volume lattices with parameter values such that , where is the energy of the lightest p≠0 pion state on the lattice. As the lattice volume increases or the quark mass falls the mass will show irregular behavior as a result of avoided level crossings with the lightest state. By modeling the interaction on a lattice of finite volume, determining a small set of parameters from lattice data, and taking the infinite-volume limit of the model, one can determine the value of the mass in the limit. It is argued that extrapolations from lattice QCD simulations with parameter values where to may be misleading.
- Received 22 October 1990
DOI:https://doi.org/10.1103/PhysRevD.43.2296
©1991 American Physical Society