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Orderaimproved renormalization constants

2000/09/30 by Tanmoy Bhattacharya, Rajan Gupta, Weonjong Lee +2 · 7 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-lat

paper · pdf · doi:10.1103/physrevd.63.074505

published as Phys.Rev. D63 (2001) 074505 · 48 pages. Modified "axis" source for figures also included. Typos corrected (version published in Phys. Rev. D)

openalex publication_date 2001/03/13 · arxiv created 2001/05/07 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We present nonperturbative results for the constants needed for on-shell O(a) improvement of bilinear operators composed of Wilson fermions. We work at \ensuremathβ=6.0 and 6.2 in the quenched approximation. The calculation is done by imposing axial and vector Ward identities on correlators similar to those used in standard hadron mass calculations. A crucial feature of the calculation is the use of nondegenerate quarks. We also obtain results for the constants needed for off-shell O(a) improvement of bilinears, and for the scale- and scheme-independent renormalization constants, ZA, ZV, and ZS/ZP. Several of the constants are determined using a variety of different Ward identities, and we compare their relative efficacies. In this way, we find a method for calculating cV that gives smaller errors than that used previously. Wherever possible, we compare our results with those of the ALPHA Collaboration (who use the Schr"odinger functional) and with one-loop tadpole-improved perturbation theory.

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