A General Method for Non-Perturbative Renormalization of Lattice Operators

Abstract

We propose a non-perturbative method for computing the renormalization constants of generic composite operators. This method is intended to reduce some systematic errors, which are present when one tries to obtain physical predictions from the matrix elements of lattice operators. We also present the results of a calculation of the renormalization constants of several two-fermion operators, obtained, with our method, by numerical simulation of $QCD$, on a $16^3\times 32$ lattice, at $\beta =6.0$. The results of this simulation are encouraging, and further applications to four-fermion operators and to the heavy quark effective theory are proposed.

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• Non-Perturbative Renormalisation and Kaon Physics
• Vector and Axial Currents in Wilson Chiral Perturbation Theory
• Isotensor Hadronic Parity Violation
• Power corrections to the CP-violation parameter ${\epsilon }_K$
• B-parameters for $\Delta S=2$ SUSY Operators
• Gauge-invariant Renormalization of the Gluino-Glue operator
• Structure functions and form factors close to the chiral limit from lattice QCD
• Light Hadron Weak Matrix Elements
• Three loop MSbar transversity operator anomalous dimensions for fixed moment n <= 8
• A quenched study of the Schroedinger functional with chirally rotated boundary conditions: applications
• Non-Perturbative Renormalisation using Domain Wall Fermions
• Hadronic structure from the lattice
• Preliminary results from a simulation of quenched QCD with overlap fermions on a large lattice
• Ratio of flavour non-singlet and singlet scalar density renormalisation parameters in $N_{\mathrm{f}}=3$ QCD with Wilson quarks
• Non-perturbative renormalization in kaon decays
• High-loop perturbative renormalization constants for Lattice QCD (II): three-loop quark currents for tree-level Symanzik improved gauge action and n_f=2 Wilson fermions
• Non-perturbative improvement and renormalization of lattice operators
• Lattice Renormalization of Quark Operators
• B_K with the Wilson Quark Action: A Non-Perturbative Resolution of Operator Mixing using Chiral Ward Identities
• Testing the Quasi-temporal Gauge on the Lattice
• One-loop matching factors for staggered bilinear operators with improved gauge actions
• On the Flow of $\square R$ Weyl-Anomaly
• Improved renormalization scheme for nonlocal operators
• Five loop anomalous dimension of non-singlet quark currents in the RI' scheme
• A nonperturbative determination of the O(a) improvement coefficient c_A and the scaling of f_pi and m^{MSbar}
• Simulation of Lattice QCD with Domain-Wall Fermions
• A novel scheme for the wave function renormalization of the composite operators
• RI'/SMOM scheme amplitudes for deep inelastic scattering operators at one loop in QCD
• Light quark masses from Domain Wall Fermions
• Recent Progress in Lattice QCD
• RI/MOM and RI/SMOM renormalization of quark bilinear operators using overlap fermions
• Connected and disconnected contributions to nucleon axial form factors using $N_f=2$ twisted mass fermions at the physical point
• Nucleon isovector scalar charge from overlap fermions
• Non-perturbative renormalization constants and light quark masses
• Baryon Number Violation: From Nuclear Matrix Elements to BSM Physics
• Physics prospects of UV-filtered overlap quarks
• Non-perturbative renormalization of tensor currents: strategy and results for $N_f=0$ and $N_f=2$ QCD
• Light quark masses and CKM matrix elements from lattice QCD
• A calculation of the Lepage-Mackenzie scale for the lattice axial and vector currents
• Mapping Parton Distributions of Hadrons with Lattice QCD
• On-shell Delta I = 3/2 kaon weak matrix elements with non-zero total momentum
• Renormalization and Mixing of the Gluino-Glue Operator on the Lattice
• A note on Rome-Southampton Renormalization with Smeared Gauge Fields
• Non-perturbative renormalization of the $\Delta S=2$ operator and the heavy-light axial current
• The Kaon B-parameter with the Wilson Quark Action using Chiral Ward Identities
• Pseudoscalar Vertex and Quark Masses
• Bilinear quark operator renormalization at generalized symmetric point
• High-loop perturbative renormalization constants for Lattice QCD (III): three-loop quark currents for Iwasaki gauge action and n_f=4 Wilson fermions
• RI-(S)MOM to $\overline{\mathrm{MS}}$ conversion for $B_K$ at two-loop order
• Semileptonic weak Hamiltonian to $\mathcal{O}(\alpha {\alpha }_s({\mu }_{\mathrm{Lattice}}))$ in momentum-space subtraction schemes
• Non-perturbative renormalization factors of bilinear quark operators for Kogut-Susskind fermions and light quark masses in quenched QCD
• Quark Masses and Renormalization Constants from Quark Propagator and 3-point Functions
• Nucleon Decay with Domain-Wall Fermions
• Exact Nonperturbative Renormalization
• QCD propagators and vertices from lattice QCD (in memory of Michael Müller-Preußker)
• Long distance contributions to neutral $D$-meson mixing from lattice QCD
• Strong coupling and quark masses from lattice QCD
• Nuclear models on a lattice
• Determining the strange quark mass for 2-flavour QCD
• Renormalization factors of quark bilinears using the DCI operator with dynamical quarks
• Lattice QCD and the Neutron Electric Dipole Moment
• Quark masses using domain wall fermions
• Moments of Nucleon Unpolarized, Polarized, and Transversity Parton Distribution Functions from Lattice QCD at the Physical Point
• $K\to \pi \pi$ Decays with Domain Wall Fermions: Towards Physical Results
• Progress in computing parton distribution functions from the quasi-PDF approach
• Non-perturbative renormalization of the QCD flavour-singlet local vector current
• A High Statistics Lattice Calculation of Quark Masses with a Non-Perturbative Renormalization Procedure
• Calcutation of kaon matrix elements in quenched domain-wall QCD with DBW2 gauge action
• Non-perturbative determination of heavy quark action coefficients
• Lattice renormalisation of O(a) improved heavy-light operators
• Renormalization constants using quark states in Landau gauge
• Non-Perturbative versus Perturbative Renormalization of Lattice Operators
• New results from APE with non-perturbatively improved Wilson fermions
• Delta I=1/2 rule from staggered fermions
• Non-perturbative renormalisation of four fermion operators and B-bar B mixing with Wilson fermions
• Electroweak penguins and SUSY K^0-\bar K^0 mixing with Neuberger quarks
• New Results From Lattice QCD: Non-Perturbative Renormalization and Quark Masses
• Matrix Elements of Light Quarks
• Non-Perturbative Renormalization and the Fermilab Action
• Improved non-perturbative renormalization without $c_{NGI}$
• Symmetric point flavour singlet axial vector current renormalization at two loops
• Nucleon structure from 2+1-flavor domain-wall QCD
• Future Perspectives in Lattice Field Theory
• Generalized Parton Distributions from Lattice QCD with Asymmetric Momentum Transfer: Unpolarized Quarks at Nonzero Skewness
• RI/(S)MOM renormalizations of overlap quark bilinears with different levels of hypercubic smearing
• Composite operators in lattice QCD: nonperturbative renormalization
• Domain Wall Fermion Study of Scaling in Non-perturbative Renormalization of Quark Composite Operators
• Weak hamiltonian Wilson Coefficients from Lattice QCD
• Renormalization Constants using Quark States in Fixed Gauge
• Collins-Soper kernel from lattice QCD at the physical pion mass
• Off-shell quark bilinear operator Green's functions at two loops
• A non-perturbative determination of Z_V and b_V for O(a) improved quenched and unquenched Wilson fermions
• Status and Perspective of Non-perturbative Renormalization in Weak Decays
• Towards a non-perturbative calculation of Weak Hamiltonian Wilson coefficients
• Non-perturbative renormalization in lattice QCD
• A study of the quark-gluon vertex
• First results with non-perturbative fermion improvement
• Numerical Exploration of the RI/MOM Scheme Gauge Dependence
• Strangeness in Lattice QCD
• Non-perturbative Renormalization of Lattice Operators
• B_K from quenched overlap QCD
• Composite operators from the operator product expansion: what can go wrong?
• A Unified Neural-Network Framework for Nucleon Imaging from Numerical Simulations of QCD
• Pion decay constant in quenched QCD with Kogut-Susskind quarks
• Non-perturbative renormalisation with interpolating momentum schemes
• Resummation of Cactus Diagrams in Lattice QCD, to all Orders
• Quark masses and the chiral condensate with a non-perturbative renormalization procedure
• Light quark masses from the lattice
• Heavy Domain Wall Fermions: The RBC and UKQCD charm physics program
• Construction of lattice Möbius domain wall fermions in the Schrödinger functional scheme
• Domain wall fermions and the strange quark mass
• alpha_s^3 conversion relation betweeen MS-bar and Euclidean quark masses
• Three-loop QCD Mass Relation between the $\overline{\mathrm{MS}}$ and Symmetric-momentum Subtraction Scheme Away from the Chiral Limit
• Impact of Dynamical Charm Quark and Mixed Action Effect on Light Hadron Masses and Decay Constants
• Proton and neutron electromagnetic form factors from lattice QCD in the continuum limit
• The Beauty of Lattice Perturbation Theory: The Role of Lattice Perturbation Theory in B Physics
• Determination of the Strong Coupling Constant ${\alpha }_s$ from Inclusive Semi-leptonic $B$ Meson Decays
• Quark flavor decomposition of the nucleon axial form factors