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Spectrum calculations in lattice gauge theory using Wilson's fermion method

1978; American Physical Society; Volume: 18; Issue: 5 Linguagem: Inglês

10.1103/physrevd.18.1709

1538-4500

J. Shigemitsu,

High-Energy Particle Collisions Research

Using a lattice fermion method due to Wilson we compute mass ratios for the low-lying hadrons and the nucleon ${g}_{A}$ factor within the context of the lattice Hamiltonian formulation of quantum chromodynamics. This lattice fermion method breaks chiral symmetry completely, but by adjusting a parameter we are able to obtain a massless pion in the continuum (lattice spacing \ensuremath{\rightarrow}0) limit. The computed $\ensuremath{\rho}$ and $\ensuremath{\omega}$ masses are quite realistic and unaffected by the choice of the parameter, and the axial-vector charge of the nucleon is slightly better than its static SU(6) value. Higher-order calculations using this formulation of the lattice theory appear promising and feasible.