Finite-size effect in lattice QCD hadron spectroscopy

Abstract

A hadron spectrum calculation with two light dynamical quark flavors was carried out with the Kogut-Susskind quark action at β=5.7 on lattices of spatial size $8^3$, ${12}^3$, and ${20}^3$ for ${\mathit{m}}_{\mathit{q}}$=0.01 and 0.02 in lattice units, with emphasis given to a systematic study of the finite-lattice-size effect. It is found that hadron masses on a ${16}^3$ spatial lattice at this β still suffer from a significant finite-lattice effect at least for ${\mathit{m}}_{\mathit{q}}$=0.01, showing the importance of a quantitative control over the finite-size effect in comparing simulation results with the experimental hadron masses even for a fairly large lattice. A comparison is also made to the analytic prediction for the finite-size effect from chiral perturbation theory.