Non-Perturbative Renormalization Constants Using Ward Identities

The authors extend the application of vector and axial Ward identities to calculate b{sub A}, b{sub P} and b{sub 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{sub P}{sup 0} (or Z{sub S}{sup 0}) and Z{sub T} are undetermined. The authors present results of a pilot numerical study using hadronic correlators.