Non-perturbative renormalization of moments of parton distribution functions

Abstract

We compute non-perturbatively the evolution of the twist-2 operators corresponding to the average momentum of non-singlet quark densities. The calculation is based on a finite-size technique, using the Schrödinger Functional, in quenched QCD. We find that a careful choice of the boundary conditions, is essential, for such operators, to render possible the computation. As a by-product we apply the non-perturbatively computed renormalization constants to available data of bare matrix elements between nucleon states.

arXiv commentLattice2003(Matrix); 3 pages, 3 figures. Talk by A.S

References in corpus (4)

• Chiral symmetry and O(a) improvement in lattice QCD
• Non-perturbative quark mass renormalization in quenched lattice QCD
• Non-perturbative renormalization of lattice QCD at all scales
• Continuous external momenta in non-perturbative lattice simulations: a computation of renormalization factors

Cited by in corpus (5)

• Non-perturbative renormalization of static-light four-fermion operators in quenched lattice QCD
• Non-perturbative Pion Matrix Element of a twist-2 operator from the Lattice
• Flavour singlet physics in lattice QCD with background fields
• Non-perturbative renormalization of left-left four-fermion operators in quenched lattice QCD
• Non-perturbative renormalization of tensor currents: strategy and results for $N_f=0$ and $N_f=2$ QCD