Improved bilinears in lattice QCD with non-degenerate quarks

Abstract

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.

arXiv comment49 pages, no figures; minor improvements in wording, further typos corrected, published version

References in corpus (24)

• A General Method for Non-Perturbative Renormalization of Lattice Operators
• Chiral symmetry and O(a) improvement in lattice QCD
• Chirally improving Wilson fermions - I. O(a) improvement
• Non-perturbative renormalization of lattice QCD at all scales
• O(a) improvement of lattice QCD with two flavors of Wilson quarks
• Further results on O(a) improved lattice QCD to one-loop order of perturbation theory
• Kaon Matrix Elements and CP-violation from Quenched Lattice QCD: (I) the 3-flavor case
• The running coupling from the QCD Schrödinger functional -- a one-loop analysis
• Non-perturbative renormalization of the axial current with dynamical Wilson fermions
• Calculation of Non-Leptonic Kaon Decay Amplitudes from $K\to \pi$ Matrix Elements in Quenched Domain-Wall QCD
• Order a improved renormalization constants
• Spontaneous violation of CP symmetry in the strong interactions
• Non-perturbative improvement of composite operators with Wilson fermions
• Non-perturbative improvement of the axial current for dynamical Wilson fermions
• Non-perturbative O(a) improvement of the vector current
• Non-perturbative renormalization constants on the lattice from flavour non-singlet Ward identities
• Non-perturbative renormalisation and improvement of the local vector current for quenched and unquenched Wilson fermions
• Some Observations on Broken Symmetries
• Further one-loop results in O(a) improved lattice QCD
• Non-perturbative O(a)-improvement of Wilson quark action in three-flavor QCD with plaquette gauge action
• Non-perturbative improvement of lattice QCD at large momenta
• Matrix elements relevant for Delta I=1/2 rule and epsilon-prime from Lattice QCD with staggered fermions
• Progress Towards finding Quark Masses and the QCD scale Lambda from the Lattice
• Improved bilinears in unquenched lattice QCD

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