Continuous external momenta in non-perturbative lattice simulations: a computation of renormalization factors

Abstract

We discuss the usage of continuous external momenta for computing renormalization factors as needed to renormalize operator matrix elements. These kind of external momenta are encoded in special boundary conditions for the fermion fields. The method allows to compute certain renormalization factors on the lattice that would have been very difficult, if not impossible, to compute with standard methods. As a result we give the renormalization group invariant step scaling function for a twist-2 operator corresponding to the average momentum of non-singlet quark densities.

28 pages, 10 figures

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Cited by in corpus (26)

• On the discretization of physical momenta in lattice QCD
• Hadron structure from lattice quantum chromodynamics
• Non-perturbative renormalization of static-light four-fermion operators in quenched lattice QCD
• $⟨x⟩$ and $⟨x^2⟩$ of the pion PDF from Lattice QCD with $N_f=2+1+1$ dynamical quark flavours
• Non-perturbative Pion Matrix Element of a twist-2 operator from the Lattice
• Gluon contributions to the pion mass and light cone momentum fraction
• Flavor Twisted Boundary Conditions, Pion Momentum, and the Pion Electromagnetic Form Factor
• Flavour singlet physics in lattice QCD with background fields
• Flavor Twisted Boundary Conditions and the Nucleon Axial Current
• Parton Distribution Functions with Twisted Mass Fermions
• Non-perturbative renormalization of left-left four-fermion operators in quenched lattice QCD
• Three loop anomalous dimensions of higher moments of the non-singlet twist-2 Wilson and transversity operators in the MSbar and RI' schemes
• Flavor Twisted Boundary Conditions and Isovector Form Factors
• Quarks with Twisted Boundary Conditions in the Epsilon Regime
• Three loop MSbar operator correlation functions for deep inelastic scattering in the chiral limit
• Applying Twisted Boundary Conditions for Few-body Nuclear Systems
• A perturbative study of two four-quark operators in finite volume renormalization schemes
• Flavor Twisted Boundary Conditions in the Breit Frame
• A quenched study of the Schroedinger functional with chirally rotated boundary conditions: applications
• The continuum limit of the quark mass step scaling function in quenched lattice QCD
• A quenched study of the Schroedinger functional with chirally rotated boundary conditions: non-perturbative tuning
• Non-perturbative renormalization of moments of parton distribution functions
• Perturbative analysis of the Neuberger-Dirac operator in the Schrödinger functional
• Recent results on moments of parton distribution functions
• Pion parton distribution functions from lattice QCD
• Remarks on the discretization of physical momenta in lattice QCD