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arXiv · hep-lat/9810018

Non-perturbative Renormalization Constants using Ward Identities

T. Bhattacharya·S. Chandrasekharan·R. Gupta·W. Lee·S. Sharpe
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Abstract

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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T. Bhattacharya, S. Chandrasekharan, R. Gupta, W. Lee, S. Sharpe. 1998-10-07. Non-perturbative Renormalization Constants using Ward Identities. https://doi.org/10.1016/s0920-5632(99)85046-4

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