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Non-perturbative renormalization constants on the lattice from flavour non-singlet Ward identities

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arxiv hep-lat/9710071 v1 pith:N3YFVKJW submitted 1997-10-20 hep-lat

Non-perturbative renormalization constants on the lattice from flavour non-singlet Ward identities

classification hep-lat
keywords axialcoefficientsconstantscurrentsidentitiesimprovementnon-perturbativenon-singlet
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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By imposing axial and vector Ward identities for flavour-non-singlet currents, we estimate in the quenched approximation the non-perturbative values of combinations of improvement coefficients, which appear in the expansion around the massless case of the renormalization constants of axial, pseudoscalar, vector, scalar non-singlet currents and of the renormalized mass. These coefficients are relevant for the completion of the improvement programme to O(a) of such operators. The simulations are performed with a clover Wilson action non-perturbatively improved.

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  1. Precision renormalisation and improvement of $N_{\rm f}=3$ lattice QCD with Wilson fermions

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    New non-perturbative renormalization and improvement results for currents and masses in Nf=3 O(a)-improved Wilson QCD at small a using Schrödinger functional boundary conditions and gradient flow tuning.