On cutoff effects in lattice QCD from short to long distances

Abstract

We discuss kinematical enhancements of cutoff effects at short and intermediate distances. Starting from a pedagogical example with periodic boundary conditions, we switch to the case of the Schroedinger Functional, where the theoretical analysis is checked by precise numerical data with Nf=2 dynamical O(a)-improved Wilson quarks. Finally we present an improved determination of the renormalization of the axial current in that theory.

16 pages, 4 figures and 2 tables. References modified

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• Non-perturbative renormalization of the axial current with dynamical Wilson fermions
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• Non-perturbative improvement of the axial current for dynamical Wilson fermions
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• Nf=2+1 dynamical Wilson quark simulation toward the physical point

Cited by in corpus (33)

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• Transport Properties of the Quark-Gluon Plasma -- A Lattice QCD Perspective
• Lattice calculation of the short and intermediate time-distance hadronic vacuum polarization contributions to the muon magnetic moment using twisted-mass fermions
• The nucleon axial charge from lattice QCD with controlled errors
• The anomalous magnetic moment of the muon in the Standard Model: an update
• Nucleon isovector couplings from $N_f=2$ lattice QCD
• Towards a precise lattice determination of the leading hadronic contribution to (g-2)_mu
• Iso-vector axial form factors of the nucleon in two-flavour lattice QCD
• Perturbative and Nonperturbative Renormalization in Lattice QCD
• High precision renormalization of the flavour non-singlet Noether currents in lattice QCD with Wilson quarks
• Nucleon electromagnetic form factors in two-flavour QCD
• D*-->Dpi and D*-->Dgamma decays: Axial coupling and Magnetic moment of D* meson
• Non-perturbative improvement of the axial current in N_f=3 lattice QCD with Wilson fermions and tree-level improved gauge action
• Precision lattice QCD computation of the $B^{\ast }B\pi$ coupling
• Non-perturbative improvement of quark mass renormalization in two-flavour lattice QCD
• The pion vector form factor from lattice QCD and NNLO chiral perturbation theory
• Parameters of Heavy Quark Effective Theory from Nf=2 lattice QCD
• Probing the chiral regime of Nf=2 QCD with mixed actions
• Nucleon matrix elements from lattice QCD with all-mode-averaging and a domain-decomposed solver: an exploratory study
• Vacuum correlators at short distances from lattice QCD
• How perturbative are heavy sea quarks?
• Non-perturbative renormalization of the axial current in $N_f=3$ lattice QCD with Wilson fermions and tree-level improved gauge action
• Some hadronic parameters of charmonia in ${\mathbf{N}}_{\text{f}}=2$ lattice QCD
• Leptonic D_s decays in two-flavour lattice QCD
• On the B*' --> B transition
• Symanzik improvement of lattice QCD with four flavors of Wilson quarks
• Antiscreening of the Ampere force in QED and QCD plasmas
• Non-perturbative quark mass dependence in the heavy-light sector of two-flavour QCD
• $D_s$ physics from fine lattices
• Density distributions in the $B$ meson
• Lattice Determination of the Anomalous Magnetic Moment of the Muon
• Non-perturbative improvement and renormalization of the axial current in N_f=3 lattice QCD
• On the $B^{{\ast }^{\prime }}\to B$ transition