Non-perturbative Renormalization Constants using Ward Identities

Details Non-perturbative Renormalization Constants using Ward Identities Non-perturbative Renormalization Constants using Ward Identities

1999-04-26

arxiv.org/abs/hep-lat/9904011v1

Phys.Lett. B461 (1999) 79-88

Physics

High Energy Physics

High Energy Physics - Lattice

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

Scientific paper

10.1016/S0370-2693(99)00796-0

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.

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