Non-perturbative improvement of lattice QCD at large momenta

Abstract

We propose a method to improve lattice operators composed of Wilson fermions which allows the removal of all corrections of $O(a)$, including those proportional to the quark mass. It requires off-shell improvement of quark fields and composite operators, which is achieved by studying the behaviour of quark and gluon correlation functions at large momenta.

arXiv comment28 pages, plain Latex. Corrected misleading reference. Version to appear in NPB

References in corpus (22)

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• Lattice gauge-fixing for generic covariant gauges
• Hadronic Weak Interactions of Light Quarks
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Cited by in corpus (17)

• Chirally improving Wilson fermions - I. O(a) improvement
• Chirally improving Wilson fermions II. Four-quark operators
• Lattice QCD at the physical point: Simulation and analysis details
• Improved bilinears in lattice QCD with non-degenerate quarks
• Perturbative and Nonperturbative Renormalization in Lattice QCD
• Direct CP violation and the $\Delta I=1/2$ rule in $K\to \pi \pi$ decay from the Standard Model
• Renormalization Constants of Quark Operators for the Non-Perturbatively Improved Wilson Action
• Perturbative determination of $c_{SW}$ for plaquette and Symanzik gauge action and stout link clover fermions
• Quark-gluon vertex with an off-shell O(a)-improved chiral fermion action
• Remarks on the Gauge Dependence of the RI/MOM Renormalization Procedure
• Non-perturbative renormalization of HQET and QCD
• Perturbative power Q^2-corrections to the structure function g(1)
• Improved non-perturbative renormalization without $c_{NGI}$
• Non-Perturbative Renormalization and the Fermilab Action
• Non-perturbative determination of heavy quark action coefficients
• Renormalization constants using quark states in Landau gauge
• Numerical Exploration of the RI/MOM Scheme Gauge Dependence