No abstract

We compute from lattice QCD in the valence (quenched) approximation the partial decay widths of the lightest scalar glueball to pairs of pseudoscalar quark-antiquark states. These predictions and values obtained earlier for the scalar glueball's mass are in good agreement with the observed properties of f J (1710) and inconsistent with all other observed meson resonances.

In a recent article we presented an argument which, we believe, shows to be incorrect an estimate, by Boglione and Pennington, of corrections to the valence (quenched) approximation predictions for properties of the lightest scalar glueball. Boglione and Pennington's reply to our article, it appears to us, fails to address the specific technical issues we raised.Comment: 6 pages, 1 figure; to appear in PR

For n-flavor lattice QCD rigorous lower bounds are derived on the masses of baryons, for even n^6, and on the masses of flavor-nonsinglet mesons, for even n ^ 2. The lower bounds are proportional to the pion mass. The consequence of these inequalities for chiral-symmetry breaking is considered.

We show that in the limit N→∞ integrals with respect to Haar measure of products of the elements of a matrix in SO(N) approach corresponding moments of a set of independent Gaussian random variables. Similar asymptotic forms are obtained for SU(N) and Sp(N). An application of these results to Wilson’s formulation of lattice gauge theory is briefly considered.