Local bilinear operators on the lattice and their perturbative renormalisation including O(a) effects

A. Schiller; G. Schierholz; H. Perlt; M. G\"ockeler; P. Rakow; R. Horsley; S. Capitani

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Local bilinear operators on the lattice and their perturbative renormalisation including O(a) effects

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arxiv hep-lat/9711007 v1 pith:HOPARNUZ submitted 1997-11-05 hep-lat

S. Capitani , M. Göckeler , R. Horsley , H. Perlt , P. Rakow , G. Schierholz , A. Schiller This is my paper

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keywords latticeoperatorsfactorsimprovementlocalperturbativerenormalisationapplied

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abstract

Some basic concepts are discussed to derive renormalisation factors of local lattice operators relevant to deep inelastic structure functions and to other measurable quantities. These $Z$ factors can be used to relate matrix elements measured by lattice techniques to their continuum counterparts. We discuss the $O(a)$ improvement of point and one-link lattice quark operators. Suitable bases of improved operators are derived. Tadpole improvement is applied to get more reliable perturbative results.

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