Properties of hadrons in lattice quantum chromodynamics with dynamical Wilson fermions.

Abstract

New results of a large-scale simulation of lattice quantum chromodynamics with three (u,d,s) dynamical Wilson fermions on a 10 x 10 x 10 x 30 space-time lattice are presented. The computations presented here confirm earlier results that indicated the presence of substantial effects due to fermion vacuum-polarization loops. As a check on the results two values for the gauge coupling constant are considered and some degree of scaling is observed. The quark mass dependence of the physical pseudoscalar-meson mass is explicitly determined both in the case of equal-mass and unequal- (heavy-light) mass systems, as well as in the case of light sea quarks versus heavy valence quarks, with the latter situation being relevant for heavy-quark bound states. Further results include estimates for other lowest-lying hadron masses, for the (current-algebra) quark masses (m/sub u/, m/sub d/, m/sub s/, and m/sub c/), and for the pseudoscalar-meson decay constants (f/sub ..pi../, f/sub K/, f/sub D/, f/sub eta//sub >//sub c//sub =/, and f/sub B/). An estimate of the strangeness content of the proton is given. Relatively small mass values are found for the light quarks (u,d,s). In the case of the decay constants the full lattice QCD estimates could give new predictions, since somemore » of the experimental values are not known yet.« less