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Further results on O(a) improved lattice QCD to one-loop order of perturbation theory

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arxiv hep-lat/9704001 v1 pith:HXRB36N2 submitted 1997-04-02 hep-lat

classification hep-lat
keywords improvedvectorcoefficientsimprovementisovectorlatticeon-shellone-loop
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We present results at one-loop order of perturbation theory for various improvement coefficients in on-shell O($a$) improved lattice QCD. In particular we determine the additive counterterm required for on-shell improvement of the isovector vector current. Employing a general mass-independent renormalization scheme we also obtain the coefficients of the O($a$) counterterms which are proportional to the quark mass in the improved isovector pseudo-scalar, axial vector and vector operators. In the latter case a comparison with a recent non-perturbative study is made.

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  1. $\mathrm{O}(a)$ improvement of the flavour singlet scalar density in a setup with Wilson fermions

    hep-lat 2025-02 conditional novelty 7.0 of 10

    A Ward identity analysis provides the first non-perturbative estimates of the O(a) improvement coefficient g_S for the flavour singlet scalar density in three-flavour QCD.

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