Glueball Masses and Symmetry Restoration in SU(3) Lattice Gauge Theory: A High Statistics Monte Carlo Study

We calculate 0++, 2++ and 1−+ correlation functions for a wide range of momenta in a high statisticsSU(3) study on an 84 lattice: 28,000 sweeps at β=5.7 and 18,000 at β=5.9. We obtain an accurate confirmation of the restoration of the continuum relativistic dispersion relation,E2=p2+m2, and of rotational invariance. We obtain accurate 2++ mass estimates up to two lattice spacings, and confirm consistency with asymptotic scaling. For the 1−+ the results are much poorer and we can only present some very crude mass estimates. We compare our 0++ data to our previous calculations with a source, and make some statements about the relative efficiencies of source and variational calculations in this range of couplings