Abstract
Hadron masses and decay constants are calculated in the quenched approximation to lattice gauge theories with a renormalization group improved SU(3) lattice gauge action and Wilson's quark action on a 12 3 × 24 lattice at β = 2.4. The results for mesons are satisfactory: in particular, the masses of the pion and rho are determined with small errors which are presumably free from finite size effects. The lattice spacing determined from the rho meson mass agrees well with that determined from the string tension. When the lattice spacing thus determined is used as the physical scale, the decay constants ƒ π and ƒ p are in good agreement with the experimental values. The chiral property of Wilson quarks is discussed in connection with the PCAC relation. The masses of the first excited ϱ meson, δ(O ++) and A 1(1 ++) are also in good agreement with the observed masses. However, for baryons the linear extention in the time direction is not large enough to extract the mass of the ground state from propagators. The algorithm we use to calculate quark propagators is the minimum residual method with incomplete LU decomposition, vectorized by a hyperplane method, which we describe in detail.
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