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Improved bilinears in lattice QCD with non-degenerate quarks

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arxiv hep-lat/0511014 v3 pith:FIHMYLQH submitted 2005-11-04 hep-lat

Tanmoy Bhattacharya , Rajan Gupta , Weonjong Lee , Stephen R. Sharpe , Jackson M. S. Wu This is my paper · ORCID
classification hep-lat
keywords flavorsquarkscoefficientsfourimprovementmanynon-degenerateoperators
verification ladder T0 review T1 audit T2 compute T3 formal

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We describe the extension of the improvement program for bilinear operators composed of Wilson fermions to non-degenerate dynamical quarks. We consider two, three and four flavors, and both flavor non-singlet and singlet operators. We find that there are many more improvement coefficients than with degenerate quarks, but that, for three or four flavors, nearly all can be determined by enforcing vector and axial Ward identities. The situation is worse for two flavors, where many more coefficients remain undetermined.

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Cited by 5 Pith papers

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    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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  4. The isoscalar non-singlet axial form factor of the nucleon from lattice QCD

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    This lattice QCD proceedings paper presents a stable analysis strategy and preliminary results for the isoscalar non-singlet axial form factor of the nucleon, with the full u+d-2s case on two ensembles.

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    hep-lat 2019-09 conditional novelty 6.0 of 10

    Octet baryon matrix elements of octet currents obey a constrained SU(3) flavour-breaking expansion along the constant-singlet-mass trajectory, with one constraint at second order and no further constraints at third or...

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