Quark structure from the lattice Operator Product Expansion

A. Schiller; D. Pleiter; G. Schierholz; H. Perlt; J. M. Zanotti (for the QCDSF collaboration); M. G\"ockeler; N. Cundy; P. E. L. Rakow; R. Horsley; T. Streuer

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Quark structure from the lattice Operator Product Expansion

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arxiv 0911.4892 v1 pith:WPK5IRZD submitted 2009-11-25 hep-lat

W. Bietenholz , N. Cundy , M. Göckeler , R. Horsley , H. Perlt , D. Pleiter , P. E. L. Rakow , G. Schierholz

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A. Schiller T. Streuer J. M. Zanotti (for the QCDSF collaboration)

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keywords structurecoefficientslatticenon-perturbativeoperatorwilsonbecausecase

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We have reported elsewhere in this conference on our continuing project to determine non-perturbative Wilson coefficients on the lattice, as a step towards a completely non-perturbative determination of the nucleon structure. In this talk we discuss how these Wilson coefficients can be used to extract Nachtmann moments of structure functions, using the case of off-shell Landau-gauge quarks as a first simple example. This work is done using overlap fermions, because their improved chiral properties reduce the difficulties due to operator mixing.

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