Non-perturbative Renormalization of Quark bilinears

Abstract

We compute non-perturbatively the renormalization constants of quark bilinears on the lattice in the quenched approximation at three values of the coupling beta=6/g_0^2=6.0,6.2,6.4 using both the Wilson and the tree-level improved SW-Clover fermion action. We perform a Renormalization Group analysis at the next-to-next-to-leading order and compute Renormalization Group invariant values for the constants. The results are applied to obtain a fully non-perturbative estimate of the vector and pseudoscalar decay constants.

21 pages, latex, five latex figures included

References in corpus (2)

• Lattice B-parameters for $\Delta S=2$ and $\Delta I=3/2$ Operators
• On the Definition of Gauge Field Operators in Lattice Gauge-Fixed Theories

Cited by in corpus (42)

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• Mesons in large-N QCD
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• Axial Nucleon and Nucleon to Delta form fractors and the Goldberger-Treiman Relations from Lattice QCD
• Light Quark Masses with Overlap Fermions in Quenched QCD
• B-parameters for DeltaS = 2 Supersymmetric Operators
• Low energy chiral constants from epsilon-regime simulations with improved Wilson fermions
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• RI/MOM Renormalization Window and Goldstone Pole Contamination
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• Renormalization Constants of Quark Operators for the Non-Perturbatively Improved Wilson Action
• Non-perturbative renormalization of lattice operators in coordinate space
• Renormalization of bilinear quark operators for the chirally improved lattice Dirac operator
• Exploring twisted mass Lattice QCD with the Clover term
• The Kaon B-parameter with the Wilson Quark Action using Chiral Ward Identities
• Lattice 2001: Reflections
• Non-perturbative Renormalization in Lattice Field Theory
• Nucleon structure functions with domain wall fermions
• Two loop renormalization of the n = 2 Wilson operator in the RI'/SMOM scheme
• Quark-gluon vertex with an off-shell O(a)-improved chiral fermion action
• Pion decay constant for the Kogut-Susskind quark action in quenched lattice QCD
• Quenched Results for Light Quark Physics with Overlap Fermions
• Remarks on the Gauge Dependence of the RI/MOM Renormalization Procedure
• Amplitudes for the n = 3 moment of the Wilson operator at two loops in the RI/'SMOM scheme
• Large pion pole in Z_{S}^{MOM}/Z_{P}^{MOM} from Wilson action data
• Nonperturbative renormalization of composite operators with overlap fermions
• Nonperturbative renormalisation of composite operators with overlap quarks
• Renormalization of Bilinear Quark Operators for Overlap Fermions
• Non-Perturbative Renormalisation using Domain Wall Fermions
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• A specific lattice artefact in non-perturbative renormalization of operators
• Bilinear quark operator renormalization at generalized symmetric point
• Pion decay in magnetic fields
• Renormalization factors of quark bilinears using the DCI operator with dynamical quarks
• Quark masses using domain wall fermions
• Non-Perturbative Renormalization and the Fermilab Action
• Non-Perturbative Renormalization in Lattice Field Theory
• Numerical Exploration of the RI/MOM Scheme Gauge Dependence