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arXiv · hep-lat/9904011

Non-perturbative Renormalization Constants using Ward Identities

Tanmoy Bhattacharya·Shailesh Chandrasekharan·Rajan Gupta·Weonjong Lee·Stephen Sharpe
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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.

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Tanmoy Bhattacharya, Shailesh Chandrasekharan, Rajan Gupta, Weonjong Lee, Stephen Sharpe. 1999-04-26. Non-perturbative Renormalization Constants using Ward Identities. https://doi.org/10.1016/s0370-2693(99)00796-0

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