We describe a noisy Monte Carlo method for numerical simulation of quantum chromodynamics (QCD) including the dynamical effects of light quarks. A family of link variables is updated simultaneously using an unbiased estimate of the ratio of fermion determinants. The algorithm permits large (heat-bath size) update steps to be made with no uncontrollable systematic errors. It is shown theoretically that in the limit when each link is changed by a small step simultaneously the master equation of the noisy Monte Carlo algorithm becomes identical to the Fokker-Planck equation of the popular Langevin method. We present detailed results for a large range of couplings and masses on 4⁴ lattices with staggered fermions. Prospects for realistic calculations on large lattices are discussed.
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Kennedy et al. (1988) studied this question.
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