Non-perturbative Renormalization Constants using Ward Identities

Abstract

We extend the application of axial Ward identities to calculate $b_A,b_P$ and $b_T$, coefficients that give the mass dependence of the renormalization constants of the corresponding bilinear operators in the quenched theory. The extension relies on using operators with non-degenerate quark masses. It allows a complete determination of the O(a) improvement coefficients for bilinears in the quenched approximation using Ward Identities alone. Only the scale dependent normalization constants $Z_P^0$ (or $Z_S^0$) and $Z_T$ are undetermined. We present results of a pilot numerical study using hadronic correlators.

8 pages. Modified "axis" source for figures also included

References in corpus (6)

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• Non-perturbative improvement of composite operators with Wilson fermions
• Perturbative calculation of improvement coefficients to O(g^2a) for bilinear quark operators in lattice QCD
• Non-perturbative O(a) improvement of the vector current
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• Further one-loop results in O(a) improved lattice QCD