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arXiv · hep-lat/9711007

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

S. Capitani·M. Göckeler·R. Horsley·H. Perlt·P. Rakow·G. Schierholz·A. Schiller
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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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S. Capitani, M. Göckeler, R. Horsley, H. Perlt, P. Rakow, G. Schierholz, A. Schiller. 1997-11-05. Local bilinear operators on the lattice and their perturbative renormalisation including O(a) effects. https://arxiv.org/abs/hep-lat/9711007

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