Nonperturbative results for the coefficients b(m) and b(a) - b(P) in O(a) improved lattice QCD

We determine the improvement coefficients b_m and b_a-bp in quenched lattice QCD for a range of beta-values, which is relevant for current large scale simulations. At fixed beta, the results are rather sensitive to the precise choices of parameters. We therefore impose improvement conditions at constant renormalized parameters, and the coefficients are then obtained as smooth functions of g_0^2. Other improvement conditions yield a different functional dependence, but the difference between the coefficients vanishes with a rate proportional to the lattice spacing. We verify this theoretical expectation in a few examples and are therefore confident that O(a) improvement is achieved for physical quantities. As a byproduct of our analysis we also obtain the finite renormalization constant which relates the subtracted bare quark mass to the bare PCAC mass.

fermion: lattice field theory
gauge field theory: SU(3)
approximation: quenching
renormalization
nonperturbative
PCAC model
quark: mass
perturbation theory: higher-order
continuum limit
numerical calculations: Monte Carlo

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Figures(0)

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