Non-perturbative improvement of composite operators with Wilson fermions

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, leaving only errors of $O(a^2)$. The method exploits the fact that chiral symmetry is restored at short distances. By imposing this requirement on correlation functions of improved lattice operators at short distances, the coefficients which appear in these operators can be determined. The method is an extension of the improvement program of the ALPHA collaboration, which, up to now, has only been applicable in the chiral limit. The extension to quarks with non-zero masses is particularly important for applications in heavy quark physics.

arXiv comment15 pages, Latex

References in corpus (7)

• On the Viability of Lattice Perturbation Theory
• A General Method for Non-Perturbative Renormalization of Lattice Operators
• Chiral symmetry and O(a) improvement in lattice QCD
• Non-perturbative O(a) improvement of lattice QCD
• Non-perturbative determination of the axial current normalization constant in O(a) improved lattice QCD
• Non-perturbative renormalization of lattice QCD at all scales
• The running coupling from the QCD Schrödinger functional -- a one-loop analysis

Cited by in corpus (43)

• Effective field theories for heavy quarkonium
• Chirally improving Wilson fermions - I. O(a) improvement
• Chirally improving Wilson fermions II. Four-quark operators
• O(a) improvement of lattice QCD with two flavors of Wilson quarks
• Non-perturbatively Improved Heavy-Light Mesons: Masses and Decay Constants
• Improved bilinears in lattice QCD with non-degenerate quarks
• Operator product expansion and quark condensate from Lattice QCD in coordinate space
• Order a improved renormalization constants
• Non-perturbative Renormalization of Quark bilinears
• Light Quark Masses from Lattice Quark Propagators at Large Momenta
• RI/MOM Renormalization Window and Goldstone Pole Contamination
• Renormalization Constants of Quark Operators for the Non-Perturbatively Improved Wilson Action
• Non-perturbative renormalization in coordinate space for $N_f=2$ maximally twisted mass fermions with tree-level Symanzik improved gauge action
• Non-perturbatively Renormalized Light-Quark Masses with the Alpha Action
• Non-perturbative renormalization of lattice operators in coordinate space
• Non-perturbative determination of improvement coefficients using coordinate space correlators in $N_f=2+1$ lattice QCD
• Non-perturbative determination of improvement coefficients using coordinate space correlators in $N_f=2+1$ lattice QCD
• Renormalization of domain-wall bilinear operators with short-distance current correlators
• Unquenched QCD simulation results
• Non-perturbative improvement of lattice QCD at large momenta
• Non-perturbative Renormalization in Lattice Field Theory
• Remarks on the Gauge Dependence of the RI/MOM Renormalization Procedure
• $O(4)$-symmetric position-space renormalization of lattice operators
• Non-perturbative determination of improvement coefficients b_m and b_A-b_P and normalisation factor Z_m*Z_P/Z_A with N_f=3 Wilson fermions
• Quark mass anomalous dimension and ${\Lambda }_{\overline{\text{MS}}}$ from the twisted mass Dirac operator spectrum
• Lattice calculation of coordinate-space vector and axial-vector current correlators in QCD
• Perturbative calculation of O(a) improvement coefficients
• Non-perturbative renormalization constants and light quark masses
• Heavy Wilson Quarks and O($a$) Improvement: Nonperturbative Results for $b_{\mathrm{g}}$
• Non-perturbative Renormalization Constants using Ward Identities
• Non-perturbative running of renormalization constants from correlators in coordinate space using step scaling
• Non perturbative renormalization in coordinate space
• Improved non-perturbative renormalization without $c_{NGI}$
• Matrix Elements of Light Quarks
• Improved bilinears in unquenched lattice QCD
• Renormalization Constants using Quark States in Fixed Gauge
• Light hadron spectroscopy with O(a) improved dynamical fermions
• Improvement and Renormalization Constants in O(a) Improved Lattice QCD
• Numerical Exploration of the RI/MOM Scheme Gauge Dependence
• Towards a non-perturbative calculation of Weak Hamiltonian Wilson coefficients
• The Continuum and Leading Twist Limits of Parton Distribution Functions in Lattice QCD
• Lattice QCD at maximal twist
• Non-perturbative Renormalization Constants using Ward Identities