Non-perturbative improvement and renormalization of the axial current in Nf=3 lattice QCD
Abstract
We report on a non-perturbative computation of the renormalization factor ZA of the axial vector current in three-flavour O(a) improved lattice QCD with Wilson quarks and tree-level Symanzik improved gauge action and also recall our recent determination of the improvement coefficient cA. Our normalization and improvement conditions are formulated at constant physics in a Schr\"odinger functional setup. The normalization condition exploits the full, massive axial Ward identity to reduce finite quark mass effects in the evaluation of ZA and correlators with boundary wave functions to suppress excited state contributions in the pseudoscalar channel.
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