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Non-Perturbative versus Perturbative Renormalization of Lattice Operators

M. Göckeler, R. Horsley, E. -M. Ilgenfritz, H. Oelrich, H. Perlt, P. Rakow, G. Schierholz, A. Schiller

hep-latarXiv:hep-lat/9510017

Abstract

Our objective is to compute the moments of the deep-inelastic structure functions of the nucleon on the lattice. A major source of uncertainty is the renormalization of the lattice operators that enter the calculation. In this talk we compare the renormalization constants of the most relevant twist-two bilinear quark operators which we have computed non-perturbatively and perturbatively to one loop order. Furthermore, we discuss the use of tadpole improved perturbation theory.

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