Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
1997-07-18
Eur.Phys.J.C4:145-171,1998
Physics
High Energy Physics
High Energy Physics - Lattice
54 pages, Latex, 5 figures. Minor changes in text between eqs.(86) and (88)
Scientific paper
10.1007/s100520050194
We systematically examine various proposals which aim at increasing the accuracy in the determination of the renormalization of two-fermion lattice operators. We concentrate on three finite quantities which are particularly suitable for our study: the renormalization constants of the vector and axial currents and the ratio of the renormalization constants of the scalar and pseudoscalar densities. We calculate these quantities in boosted perturbation theory, with several running boosted couplings, at the "optimal" scale q*. We find that the results of boosted perturbation theory are usually (but not always) in better agreement with non-perturbative determinations of the renormalization constants than those obtained with standard perturbation theory. The finite renormalization constants of two-fermion lattice operators are also obtained non-perturbatively, using Ward Identities, both with the Wilson and the tree-level Clover improved actions, at fixed cutoff ($\beta$=6.4 and 6.0 respectively). In order to amplify finite cutoff effects, the quark masses (in lattice units) are varied in a large interval 0
Crisafulli M.
Lubicz Vittorio
Vladikas Anastassios
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