Non-perturbative renormalization of lattice operators in coordinate space

Abstract

We present the first numerical implementation of a non-perturbative renormalization method for lattice operators, based on the study of correlation functions in coordinate space at short Euclidean distance. The method is applied to compute the renormalization constants of bilinear quark operators for the non-perturbative O(a)-improved Wilson action in the quenched approximation. The matching with perturbative schemes, such as MS-bar, is computed at the next-to-leading order in continuum perturbation theory. A feasibility study of this technique with Neuberger fermions is also presented.

11 pages and 9 figures, LaTeX2e

References in corpus (20)

• A General Method for Non-Perturbative Renormalization of Lattice Operators
• The 4-loop quark mass anomalous dimension and the invariant quark mass
• The Schrödinger Functional - a Renormalizable Probe for Non-Abelian Gauge Theories
• Quark Mass Anomalous Dimension to alpha_s**4
• Non-perturbative quark mass renormalization in quenched lattice QCD
• Non-perturbative determination of the axial current normalization constant in O(a) improved lattice QCD
• Correlator of the quark scalar currents and Γ_{tot}(H --> hadrons) at O(α_s^3) in pQCD
• Nonperturbative Renormalisation of Composite Operators in Lattice QCD
• Three loop MSbar tensor current anomalous dimension in QCD
• Non-perturbative Renormalisation of Domain Wall Fermions: Quark Bilinears
• Non-Perturbative Renormalization of Lattice Four-Fermion Operators without Power Subtractions
• Light Quark Masses with Overlap Fermions in Quenched QCD
• Non-perturbative results for the coefficients b_m and b_a-b_p in O(a) improved lattice QCD
• Non-perturbative improvement of composite operators with Wilson fermions
• Non-perturbative Renormalization of Quark bilinears
• RI/MOM Renormalization Window and Goldstone Pole Contamination
• On the Nf and a Dependence of BK
• Renormalization of bilinear quark operators for the chirally improved lattice Dirac operator
• Quenched Results for Light Quark Physics with Overlap Fermions
• Non-perturbative renormalization constants and light quark masses

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