Renormalization constants of local operators within the Schrödinger functional scheme

Details Renormalization constants of local operators within the Schrödinger functional scheme Renormalization constants of local operators within the Schrödinger functional scheme

1999-09-29

arxiv.org/abs/hep-lat/9909163v1

Nucl.Phys.Proc.Suppl. 83 (2000) 253-255

Physics

High Energy Physics

High Energy Physics - Lattice

Presented at LATTICE99, 3 pages

Scientific paper

We define, within the Schr\"odinger 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.

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