Abstract
Hadron masses are calculated in quenched quantum chromodynamics (QCD) using pure gauge configurations on 16 4 lattices, periodically extended in time where necessary. We use the Susskind formulation of lattice fermions and construct the propagators for hadrons created by local lattice operators. The inversion of the fermion matrix is accomplished using either the even/odd partitioned conjugate gradient algorithm, or block successive over-relaxation, depending on lattice size. Low statistics results at β = 5.7 confirm the high value of the nucleon-to-rho mass ratio found on smaller lattices. Together with the absence of flavour symmetry in the meson spectrum, this leads us to conclude that continuum behaviour is not observed at this coupling. Higher statistics results at β = 6.0 give a nucleon-to-rho mass ratio of approximately 1.5 and satisfy flavour symmetry in the meson sector to within 10%. We observe two baryon timeslice propagators which become increasingly different as the quark mass is decreased. This effect appears to be exaggerated by our choice of antiperiodic boundary conditions in space and is interpreted as a finite size effect.
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