Moments of singlet parton densities on the lattice in the Schroedinger Functional scheme

Abstract

A non perturbative computation of the evolution of singlet parton densities without gauge--fixing requires a gauge invariant gluon source operator. Within the Schrödinger Functional scheme (SF), such a source can be defined in terms of path ordered products of gauge links, connected to the time boundaries. In this paper we adopt this definition and perform a one loop lattice computation of the renormalization constants of the twist--2 operators that correspond to the second moment of singlet parton densities. This calculation fixes the connection between the lattice SF scheme where a non perturbative evaluation of the absolute normalization of singlet parton densities can be made at low energy and the $\overline{MS}$ scheme where one can extract the experimental values.

38 pages, 16 figures

References in corpus (3)

• Moments of Nucleon Light Cone Quark Distributions Calculated in Full Lattice QCD
• Moments of Structure Functions in Full QCD
• Lattice hadron matrix elements with the Schroedinger functional: the case of the first moment of non-singlet quark density

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