Renormalization constants of local operators within the Schrödinger functional scheme

Abstract

We define, within the Schrödinger functional (SF) scheme, the matrix elements of the twist-2 operators corresponding to the first two moments of non-singlet parton density, and the first moment of 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. Few remarks on the improvement case are added.

Comments: Presented at LATTICE99, 3 pages