Non-perturbative Renormalization Constants using Ward Identities

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

1998-10-07

arxiv.org/abs/hep-lat/9810018v1

Nucl.Phys.Proc.Suppl.73:276-278,1999

Physics

High Energy Physics

High Energy Physics - Lattice

3 pages. Makefile and sources included. Talk presented at LATTICE98 (matrixelement)

Scientific paper

10.1016/S0920-5632(99)85046-4

We extend the application of vector and 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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