A Lattice Evaluation of the Deep-Inelastic Structure Functions of the Nucleon

A. Schiller; E.-M. Ilgenfritz; G. Schierholz; H. Oelrich; H. Perlt; M. G\"ockeler; P. Rakow; R. Horsley

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A Lattice Evaluation of the Deep-Inelastic Structure Functions of the Nucleon

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arxiv hep-lat/9509079 v1 pith:43IFALKW submitted 1995-09-25 hep-lat hep-ph

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

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keywords latticedeep-inelasticfunctionsnucleonoperatorsrenormalizationstructurecalculated

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abstract

The lower moments of the unpolarized and polarized deep-inelastic structure functions of the nucleon are calculated on the lattice. The calculation is done with Wilson fermions and for three values of the hopping parameter $\kappa$, so that we can perform the extrapolation to the chiral limit. Particular emphasis is put on the renormalization of lattice operators. The renormalization constants, which lead us from lattice to continuum operators, are computed perturbatively to one loop order as well as non-perturbatively.

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