Moments of parton evolution probabilities on the lattice within the Schroedinger functional scheme
arXiv:hep-lat/9808005 · doi:10.1016/S0550-3213(99)00176-5
Abstract
We define, within the Schroedinger functional scheme (SF), the matrix elements of the twist-2 operators corresponding to the first two moments of non-singlet parton densities. We perform a lattice one-loop calculation that fixes the relation between the SF scheme and other common schemes and shows the main source of lattice artefacts. This calculation sets the basis for a numerical evaluation of the non-perturbative running of parton densities.
Latex file, 4 figures, 15 pages
References in corpus (2)
Cited by in corpus (18)
- On the discretization of physical momenta in lattice QCD
- On lattice actions for static quarks
- Non-perturbative Pion Matrix Element of a twist-2 operator from the Lattice
- 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
- Continuous external momenta in non-perturbative lattice simulations: a computation of renormalization factors
- Perturbative renormalization of moments of quark momentum, helicity and transversity distributions with overlap and Wilson fermions
- Quarks with Twisted Boundary Conditions in the Epsilon Regime
- Flavor Twisted Boundary Conditions and Isovector Form Factors
- Flavor Twisted Boundary Conditions and the Nucleon Vector Current
- A perturbative study of two four-quark operators in finite volume renormalization schemes
- Lattice hadron matrix elements with the Schroedinger functional: the case of the first moment of non-singlet quark density
- Perturbative renormalization of the first two moments of non-singlet quark distributions with overlap fermions
- Moments of singlet parton densities on the lattice in the Schroedinger Functional scheme
- A quenched study of the Schroedinger functional with chirally rotated boundary conditions: applications
- Renormalization constants of local operators within the Schrödinger functional scheme
- Remarks on the discretization of physical momenta in lattice QCD